CINXE.COM

<!DOCTYPE html><html lang="en"><head><meta charSet="utf-8"/><meta name="viewport" content="width=device-width"/><meta name="description" content="Solution for Find all first and second order partial derivatives of the given function. f(x,y) =xcos(y) sin(x) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10…"/><link rel="canonical" href="https://www.bartleby.com/questions-and-answers/find-all-first-and-second-order-partial-derivatives-of-the-given-function.-fxy-xcosy-sinx-for-the-to/aac6577f-de09-48a0-b49f-a7318fd82e4a"/><title>Answered: Find all first and second order partial… | bartleby</title><script type="application/ld+json">{ "@context": "https://schema.org", "@type": [ "QAPage", "WebPage" ], "mainEntityOfPage": { "@type": "WebPage", "@id": "https://www.bartleby.com/questions-and-answers/find-all-first-and-second-order-partial-derivatives-of-the-given-function.-fxy-xcosy-sinx-for-the-to/aac6577f-de09-48a0-b49f-a7318fd82e4a" }, "name": " Find all first and second order partial derivatives of the given function.f(x,y) =xcos(y)sin(x)For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).BIUS=P+ParagraphOpen Sans,ari...10pt>11<ABC-く ✓QUESTION 5+ y2f(x,y) = x²+2x-3y +xy +Find the equation of the tangent plane to the surface at (2,1).x +]y-z=[99 Ω!!!>><|>A<<IxA88QUESTION 6f(x,y) = x²- xy + y2Use a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places.E", "description": " Find all first and second order partial derivatives of the given function.f(x,y) =xcos(y)sin(x)For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).BIUS=P+ParagraphOpen Sans,ari...10pt>11<ABC-く ✓QUESTION 5+ y2f(x,y) = x²+2x-3y +xy +Find the equation of the tangent plane to the surface at (2,1).x +]y-z=[99 Ω!!!>><|>A<<IxA88QUESTION 6f(x,y) = x²- xy + y2Use a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places.E", "inLanguage": "en", "headline": " Find all first and second order partial derivatives of the given function.f(x,y) =xcos(y)sin(x)For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).BIUS=P+ParagraphOpen Sans,ari...10pt>11<ABC-く ✓QUESTION 5+ y2f(x,y) = x²+2x-3y +xy +Find the equation of the tangent plane to the surface at (2,1).x +]y-z=[99 Ω!!!>><|>A<<IxA88QUESTION 6f(x,y) = x²- xy + y2Use a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places.E", "datePublished": "2024-11-10", "dateModified": "2024-11-10", "isAccessibleForFree": "False", "hasPart": { "@type": "WebPageElement", "isAccessibleForFree": "False", "cssSelector": ".paywall" }, "mainEntity": { "@type": "Question", "name": " Find all first and second order partial derivatives of the given function.f(x,y) =xcos(y)sin(x)For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).BIUS=P+ParagraphOpen Sans,ari...10pt>11<ABC-く ✓QUESTION 5+ y2f(x,y) = x²+2x-3y +xy +Find the equation of the tangent plane to the surface at (2,1).x +]y-z=[99 Ω!!!>><|>A<<IxA88QUESTION 6f(x,y) = x²- xy + y2Use a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places.E", "text": " Find all first and second order partial derivatives of the given function.f(x,y) =xcos(y)sin(x)For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).BIUS=P+ParagraphOpen Sans,ari...10pt>11<ABC-く ✓QUESTION 5+ y2f(x,y) = x²+2x-3y +xy +Find the equation of the tangent plane to the surface at (2,1).x +]y-z=[99 Ω!!!>><|>A<<IxA88QUESTION 6f(x,y) = x²- xy + y2Use a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places.E", "answerCount": 1, "dateCreated": "2024-11-10", "acceptedAnswer": { "@type": "Answer", "text": "Step 1: Step 2: Step 3: Step 4:" }, "url": "https://www.bartleby.com/questions-and-answers/find-all-first-and-second-order-partial-derivatives-of-the-given-function.-fxy-xcosy-sinx-for-the-to/aac6577f-de09-48a0-b49f-a7318fd82e4a" } }</script><script type="application/ld+json">{ "@context": "http://schema.org", "@type": "BreadcrumbList", "itemListElement": [ { "@type": "ListItem", "position": 1, "item": { "@id": "https://www.bartleby.com/", "name": "Bartleby Textbook Solutions" } }, { "@type": "ListItem", "position": 2, "item": { "@id": "https://www.bartleby.com/subject/math", "name": "Math Q&A and Textbook Solutions" } }, { "@type": "ListItem", "position": 3, "item": { "@id": "https://www.bartleby.com/subject/math/calculus", "name": "Calculus Q&A, Textbooks, and Solutions" } }, { "@type": "ListItem", "position": 4, "item": { "@id": "https://www.bartleby.com/subject/math/calculus/questions-and-answers", "name": "Calculus Q&A Library" } }, { "@type": "ListItem", "position": 5, "item": { "@id": "https://www.bartleby.com/questions-and-answers/find-all-first-and-second-order-partial-derivatives-of-the-given-function.-fxy-xcosy-sinx-for-the-to/aac6577f-de09-48a0-b49f-a7318fd82e4a", "name": "Find all first and second order partial derivatives of the given function. f(x,y) =xcos(y) sin(x) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS = P + Paragraph Open Sans,ari... 10pt >11< ABC - く ✓ QUESTION 5 + y2 f(x,y) = x²+2x-3y +xy + Find the equation of the tangent plane to the surface at (2,1). x + ]y-z=[ 99 Ω !!! > > <| > A < < Ix A 88 QUESTION 6 f(x,y) = x²- xy + y2 Use a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places. E" } } ] }</script><link rel="preload" as="image" href="/static/compass_v2/learnbar/search-icon.svg"/><link rel="preload" as="image" href="/static/compass_v2/learnbar/search-icon-white.svg"/><link rel="preload" as="image" href="/static/compass_v2/learnbar/ask.svg"/><link rel="preload" as="image" href="/static/compass_v2/shared-icons/expand-img.svg" media="(min-width: 768px)"/><link rel="preload" as="image" imageSrcSet="/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=16&q=75 16w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=32&q=75 32w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=48&q=75 48w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=64&q=75 64w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=96&q=75 96w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=128&q=75 128w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=256&q=75 256w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=384&q=75 384w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=640&q=75 640w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=750&q=75 750w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=828&q=75 828w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=1080&q=75 1080w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=1200&q=75 1200w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=1920&q=75 1920w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=2048&q=75 2048w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=3840&q=75 3840w" imageSizes="(min-width: 1320px) 788px, (min-width: 1040px) calc(88.08vw - 357px), (min-width: 860px) calc(100vw - 131px), calc(97.04vw - 74px)" fetchpriority="high"/><meta name="next-head-count" content="12"/><meta charSet="UTF-8"/><link rel="dns-prefetch" href="https://www.google-analytics.com"/><link rel="preconnect" href="https://nk6xemh85d.execute-api.us-east-1.amazonaws.com/prod"/><link rel="preconnect" href="https://www.bartleby.com/"/><link rel="preconnect" href="https://fonts.gstatic.com"/><link rel="icon" type="image/png" sizes="16x16" href="/static/compass_v2/favicon-16x16.png"/><link rel="icon" type="image/png" sizes="32x32" href="/static/compass_v2/favicon-32x32.png"/><link rel="icon" type="image/png" sizes="192x192" href="/static/compass_v2/android-chrome-192x192.png"/><link rel="icon" type="image/png" sizes="512x512" href="/static/compass_v2/android-chrome-512x512.png"/><link rel="apple-touch-icon" sizes="180x180" href="/static/compass_v2/apple-touch-icon.png"/><link rel="mask-icon" color="#000" href="/static/compass_v2/safari-pinned-tab.svg"/><meta name="twitter:card" content="summary_large_image"/><meta property="og:image:width" content="1200"/><meta property="og:image:height" content="630"/><link rel="preload" href="/v2/_next/static/media/552baf00d41f0467-s.p.woff2" as="font" type="font/woff2" crossorigin="anonymous" data-next-font="size-adjust"/><link rel="preload" href="/v2/_next/static/media/9a27f7098c0f5221-s.p.woff2" as="font" type="font/woff2" crossorigin="anonymous" data-next-font="size-adjust"/><link rel="preload" href="/v2/_next/static/media/66805252d3fded24-s.p.woff2" as="font" type="font/woff2" crossorigin="anonymous" data-next-font="size-adjust"/><link rel="preload" href="/v2/_next/static/media/0ac14a3c407fb3c4-s.p.woff2" as="font" type="font/woff2" crossorigin="anonymous" data-next-font="size-adjust"/><link rel="preload" href="/v2/_next/static/media/fc6fba7ce0876fef-s.p.woff2" as="font" type="font/woff2" crossorigin="anonymous" data-next-font="size-adjust"/><link rel="preload" href="/v2/_next/static/media/3cc61a2a1d48cb85-s.p.woff2" as="font" type="font/woff2" crossorigin="anonymous" data-next-font="size-adjust"/><link rel="preload" href="/v2/_next/static/css/ca642c23cfc63bd9.css" as="style"/><link rel="stylesheet" href="/v2/_next/static/css/ca642c23cfc63bd9.css" data-n-g=""/><noscript data-n-css=""></noscript><script defer="" nomodule="" src="/v2/_next/static/chunks/polyfills-c67a75d1b6f99dc8.js"></script><script src="/v2/_next/static/chunks/webpack-c50e6e67cb0a4b13.js" defer=""></script><script src="/v2/_next/static/chunks/framework-2c79e2a64abdb08b.js" defer=""></script><script src="/v2/_next/static/chunks/main-9fde7799aef02f56.js" defer=""></script><script src="/v2/_next/static/chunks/pages/_app-ec9115ce2afaa1b6.js" defer=""></script><script src="/v2/_next/static/chunks/252f366e-07ea007981e5aca4.js" defer=""></script><script src="/v2/_next/static/chunks/840-c386b505bbb80b2e.js" defer=""></script><script src="/v2/_next/static/chunks/598-b572f72af75cafc8.js" defer=""></script><script src="/v2/_next/static/chunks/269-6727cc7ff5c2d4d2.js" defer=""></script><script src="/v2/_next/static/chunks/pages/questions-and-answers/%5B...id%5D-ad9693035d471556.js" defer=""></script><script src="/v2/_next/static/f63bc52d7815b708337400d031020df4256805dc/_buildManifest.js" defer=""></script><script src="/v2/_next/static/f63bc52d7815b708337400d031020df4256805dc/_ssgManifest.js" defer=""></script></head><body><noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-NJZXM9J" height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript><div id="__next"><div class="max-h-screen flex flex-col overflow-hidden font-sans" id="AppLayout-Top-Level-Root-Container-ID"><section class="relative flexCol" id="AppLayout-Top-Section-Container-ID"><section class="flexCol" id="AppLayout-Top-Banners-Section-Container-ID"><div class="flexRow min-h-[3.5rem] w-full mx-auto align-middle justify-center text-banner-promo bg-banner-promo"><div class="items-center justify-center mx-auto flexRow max-w-1152px"><button class="flex-auto flex-grow-0 flex-shrink-0 ml-8px text-jumbo sm:ml-1 text-24px sm:mr-2 xl:ml-0px mr-8px" aria-label="close banner"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0V0z"></path><path d="M19 6.41L17.59 5 12 10.59 6.41 5 5 6.41 10.59 12 5 17.59 6.41 19 12 13.41 17.59 19 19 17.59 13.41 12 19 6.41z"></path></svg></button><a href="/account/registration" class="flex flex-row items-center justify-center flex-1 text-center text-base-blue" tabindex="0"><div class="font-sans font-semibold leading-24px text-base sm:text-17px">Homework Help is Here – Start Your Trial Now!</div><div class="pl-8px text-24px"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M12 4l-1.41 1.41L16.17 11H4v2h12.17l-5.58 5.59L12 20l8-8z"></path></svg></div></a></div></div></section><header class="flexCol" id="AppLayout-Top-Headers-Section-Container-ID"><nav id="GlobalNav-ID" class="flexCol z-[1000] bg-white border-b-[1px] border-solid border-grey50 relative"><div class="items-center justify-center flexRow"><div id="GlobalNav-Top-Container-ID" class="items-center overflow-y-visible flexRow max-w-1440px px-16px h-80px navbar-transition "><div id="GlobalNav-Logo-ID" class="flex flex-row items-center flex-initial justify-self-start h-64px mdl:h-79px"><a href="/" aria-label="bartleby logo" class="flex-1" tabindex="0"><img src="/static/compass_v2/bartleby-logos/bartleby-logo-tm.svg" alt="bartleby" width="134.97" height="38.56" loading="lazy" decoding="async" style="width:134.97px;min-width:134.97px;height:38.56px;min-height:38.56px"/></a></div><div id="GlobalNav-Links-ID" class="flex-row items-center justify-center flex-1 hidden mdl:flex"><div class="relative flex items-center justify-center flex-initial px-9px"><a href="/learn" class="flex-initial font-bold text-16px leading-16px text-darkBlue-900 p-16px" tabindex="0">learn</a><div class="absolute bottom-[-16px] left-0 w-full h-[4px] navbar-selected-item"></div></div><div class="flex flex-col items-center justify-center flex-initial relative"><button aria-label="write menu" aria-haspopup="true" aria-expanded="false" class="flex flex-row items-center flex-initial font-bold text-16px leading-16px text-darkBlue-900 p-16px" tabindex="0">write<svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" aria-hidden="true" class="button-right-icon ml-8px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M16.59 8.59L12 13.17 7.41 8.59 6 10l6 6 6-6z"></path></svg></button><div id="Write-Dropdown" class="h-0px transition-height navbar-overlay w-[240px] top-[69px] left-[-60px] "><ul id="Write-Dropdown-menu" class="pt-24px pb-24px flex flex-col justify-center"><li id="Write-Dropdown-menu-item" class="navbar-overlay-item flex items-center h-48px pl-16px text-darkBlue-900"><a href="/essay" role="link" class="text-darkBlue-900">Essays</a></li><li id="Write-Dropdown-menu-item" class="navbar-overlay-item flex items-center h-48px pl-16px text-darkBlue-900"><a href="/topics" role="link" class="text-darkBlue-900">Topics</a></li><li id="Write-Dropdown-menu-item" class="navbar-overlay-item flex items-center h-48px pl-16px text-darkBlue-900"><a href="/write" role="link" class="text-darkBlue-900">Writing Tool</a></li></ul></div></div><div class="relative flex items-center justify-center flex-initial px-9px"><a href="/plus" class="flex-initial font-bold text-16px leading-16px text-darkBlue-900 p-16px" tabindex="0">plus</a></div><div class="flex items-center justify-center flex-initial relative"><button aria-label="Study resources menu" aria-haspopup="true" aria-expanded="false" class="flex flex-row items-center flex-initial font-bold text-16px leading-16px text-darkBlue-900 p-16px" tabindex="0">study resources<svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" aria-hidden="true" class="button-right-icon ml-8px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M16.59 8.59L12 13.17 7.41 8.59 6 10l6 6 6-6z"></path></svg></button><div class="z-[2000] h-0px absolute top-1px flexRow w-[240px] left-[-24px] top-[69px] justify-center navbar-overlay closedContainer" id="StudyResourcesOverlay-ID"><div id="Study-Resources-ID" class="flexCol py-24px basis-[360px] border-r-[1px] border-solid border-grey50"><a href="/subjects" class="navbar-overlay-item" tabindex="-1">Subjects</a><a href="/lit" class="navbar-overlay-item" tabindex="-1">Literature guides</a><a href="/concepts" class="navbar-overlay-item" tabindex="-1">Concept explainers</a><a href="/writing-guide" class="navbar-overlay-item" tabindex="-1">Writing guides</a><a href="/textbooks" class="navbar-overlay-item" tabindex="-1">Popular textbooks</a><a href="/high-school-textbooks" class="navbar-overlay-item" tabindex="-1">Popular high school textbooks</a><a href="/questions-and-answers" class="navbar-overlay-item" tabindex="-1">Popular Q&A</a><a href="/sitemap/docs" class="navbar-overlay-item" tabindex="-1">Documents</a></div></div></div></div><div class="flex flex-row ml-auto flex-0"><div id="GlobalNav-Injected-Actions-ID" class="flex-row hidden ml-auto flex-0 mdl:flex"><div class="relative flex items-center justify-center flex-initial px-9px"><a href="/login?referrer=%2Fquestions-and-answers%2Ffind-all-first-and-second-order-partial-derivatives-of-the-given-function.-fxy-xcosy-sinx-for-the-to%2Faac6577f-de09-48a0-b49f-a7318fd82e4a" class="ghost-button mr-24px" tabindex="0">LOG IN</a><div class="relative flex items-center h-80px "><button aria-label="Sign up menu" aria-haspopup="true" aria-expanded="false" class="primary-button" tabindex="0">SIGN UP<svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" aria-hidden="true" class="button-right-icon ml-8px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M16.59 8.59L12 13.17 7.41 8.59 6 10l6 6 6-6z"></path></svg></button><div class="flexCol absolute z-[2000] top-81px -right-10px bg-white w-[230px] h-144px overflow-hidden dropDown-shadow basic-transition closedContainer"><a href="/account/registration" class="menu-item" tabindex="0">Sign up for <span class="font-bold">learn</span></a><a href="/account/registration/write" class="menu-item" tabindex="0">Sign up for <span class="font-bold">write</span></a><a href="/account/registration/plus" class="menu-item" tabindex="0">Sign up for <span class="font-bold">plus</span></a></div></div></div></div><button aria-label="menu" class="unstyled-button mdl:hidden" tabindex="0"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" class="button-icon" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M3 18h18v-2H3v2zm0-5h18v-2H3v2zm0-7v2h18V6H3z"></path></svg></button></div></div></div></nav><div class="flexRow z-[999] items-center justify-start bg-darkBlue900 text-white overflow-x-auto snap-x px-16px mdl:overflow-x-hidden mdl:px-0"><div class="flexRow max-w-1440px min-h-[64px] mx-auto mdl:min-h-[80px]"><div class="hidden flex-1 flex-shrink flex-grow-[0%] pl-120px items-center justify-center mr-60px mdl:flexRow"><button class="flex-1 h-36px py-0 pl-10px pr-38px max-w-[660px] text-16px leading-16px text-left text-grey-400 bg-athensGray rounded bg-[url("/static/compass_v2/learnbar/search-icon.svg")] bg-no-repeat search-bar-icon" aria-label="Homework help starts here! Click here to start typing your search terms">Homework help starts here!</button></div><div class="flexRow justify-center items-center ml-auto mdl:justify-start"><button class="navBar-button flex-initial mdl:hidden" tabindex="0"><img src="/static/compass_v2/learnbar/search-icon-white.svg" alt="" class="button-left-icon mr-8px"/>Search</button><button class="navBar-button flex-initial" tabindex="0"><img src="/static/compass_v2/learnbar/ask.svg" alt="" class="button-left-icon mr-8px"/>ASK AN EXPERT</button></div></div></div><div class="hidden flex-1 z-[800] bg-white h-0px navbar-transition overflow-hidden p-0px lg:flex"><div class="flex-1 flexRow justify-center items-center max-w-[1168px] w-full m-auto h-0px "><div class="flex-initial text-20px leading-24px font-semibold text-darkBlue-900 max-w-[40%] overflow-hidden text-ellipsis flex-nowrap whitespace-nowrap h-0px ">Find all first and second order partial derivatives of the given function. f(x,y) =xcos(y) sin(x) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS = P + Paragraph Open Sans,ari... 10pt >11< ABC - く ✓ QUESTION 5 + y2 f(x,y) = x²+2x-3y +xy + Find the equation of the tangent plane to the surface at (2,1). x + ]y-z=[ 99 Ω !!! > > <| > A < < Ix A 88 QUESTION 6 f(x,y) = x²- xy + y2 Use a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places. E</div></div></div></header></section><main id="AppLayout-Scrollable-Main-Container-ID" class="flex-1 overflow-x-hidden overflow-y-auto relative"><div><div id="QNA-PAGE-CONTENT" class="flex-col items-center bg-page px-8px md:px-16px mdl:px-32px mdl:pb-32px"><div id="QNA-PAGE-TOP-CONTENT" class="flex flex-1 w-full pt-12px bg-page mdl:pt-24px"><div id="QNA-PAGE-BREADCRUMB" class="flex flex-col flex-1 w-full max-w-1188px m-auto"><div id="QNA-PAGE-BREADCRUMB" class="flex flex-col flex-1 w-full m-auto font-sans"><div id="BREADCRUMB-ID" class="flex flex-row flex-initial items-center w-full m-auto font-sans text-blue-600 text-14px"><div class="flex flex-row flex-initial items-center shrink-0"><a href="/subject/math" class="flex-1 cursor-pointer underline" tabindex="0">Math</a><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" class="flex-initial text-grey-200 w-24px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M6.41 6L5 7.41 9.58 12 5 16.59 6.41 18l6-6z"></path><path d="M13 6l-1.41 1.41L16.17 12l-4.58 4.59L13 18l6-6z"></path></svg></div><div class="flex flex-row flex-initial items-center shrink-0"><a href="/subject/math/calculus" class="flex-1 cursor-pointer underline" tabindex="0">Calculus</a><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" class="flex-initial text-grey-200 w-24px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M6.41 6L5 7.41 9.58 12 5 16.59 6.41 18l6-6z"></path><path d="M13 6l-1.41 1.41L16.17 12l-4.58 4.59L13 18l6-6z"></path></svg></div><span class="flex-initial text-grey-500 whitespace-nowrap text-ellipsis overflow-hidden">Find all first and second order partial derivatives of the given function. f(x,y) =xcos(y) sin(x) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS = P + Paragraph Open Sans,ari... 10pt >11< ABC - く ✓ QUESTION 5 + y2 f(x,y) = x²+2x-3y +xy + Find the equation of the tangent plane to the surface at (2,1). x + ]y-z=[ 99 Ω !!! > > <| > A < < Ix A 88 QUESTION 6 f(x,y) = x²- xy + y2 Use a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places. E</span></div><h1 id="QNA-PAGE-H1" class="mt-16px text-24px leading-32px whitespace-nowrap overflow-hidden text-darkBlue-900 bg-page font-semibold text-ellipsis pb-16px">Find all first and second order partial derivatives of the given function. f(x,y) =xcos(y) sin(x) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS = P + Paragraph Open Sans,ari... 10pt >11< ABC - く ✓ QUESTION 5 + y2 f(x,y) = x²+2x-3y +xy + Find the equation of the tangent plane to the surface at (2,1). x + ]y-z=[ 99 Ω !!! > > <| > A < < Ix A 88 QUESTION 6 f(x,y) = x²- xy + y2 Use a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places. E</h1></div></div></div><div id="qa_ad_top" class="sm:h-[90px] sm:min-h-[90px] sm:min-w-[728px] sm:max-w-[970px] m-auto h-[50px] min-h-[50px] min-w-[300px] max-w-[320px]"></div><div id="QNA-PAGE-MAIN-CONTENT" class="flexColReverse w-full max-w-1188px py-24px flex-grow-0 mx-auto bg-page lg:flex-row md:py-32px"><div id="QNA-PAGE-MIDDLE-LEFT-RAIL" class="flexCol flex-initial mt-24px overflow-visible lg:w-[318px] lg:mr-32px lg:mt-0px"><div id="TEXTBOOK-MODULE-ID" class="flex-initial flex-col items-center justify-center w-full p-24px rounded-lg border-[1px] border-grey100 bg-white lg:w-[318px] overflow-hidden"><div class="flexRow overflow-hidden w-full "><div class="flexCol flex-initial justify-start items-center p-2px"><a href="https://www.amazon.com/b?node=283155" target="_blank" rel="noopener noreferrer" class="flex-initial" tabindex="0"><img width="100%" height="68px" class="object-cover rounded-lg h-68px w-auto m-auto" src="https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif" alt="Algebra: Structure And Method, Book 1" decoding="async" loading="lazy"/><button class="secondaryGhost-button flex-initial h-34px mt-8px">BUY</button></a></div><div class="flex-col w-full flex-wrap text-ellipsis overflow-hidden p-2px ml-5px"><a href="/high-school-textbooks/algebra-structure-and-method-book-1/9780395977224/solutions" target="_blank" rel="noopener noreferrer" class="flex-initial w-full text-darkBlue-900 font-semibold text-16px leading-16px text-ellipsis overflow-hidden whitespace-nowrap" tabindex="0">Algebra: Structure And Method, Book 1</a><div class="flex-initial w-full text-14px text-grey-500 text-ellipsis overflow-hidden pt-0x">(REV)00th Edition</div><div class="flex-initial w-full text-ellipsis overflow-hidden"><span class="text-14px leading-5 text-grey-900 font-semibold">ISBN:</span><span class="text-14px leading-5 text-grey-900 font-normal ml-4px">9780395977224</span></div><div class="flex-initial w-full text-ellipsis overflow-hidden"><span class="text-14px leading-5 text-grey-900 font-semibold">Author:</span><span class="text-14px leading-5 text-grey-900 font-semibold ml-4px">Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole</span></div><div class="flex-initial w-full text-ellipsis overflow-hidden"><span class="text-14px leading-5 text-grey-900 font-semibold">Publisher:</span><span class="text-14px leading-5 text-grey-900 font-normal ml-4px">Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole</span></div></div></div><div class="flexCol w-full mt-24px"><div class="flex-initial flexRow w-full"><div class="flex-1"><div class="relative w-full overflow-hidden"><select class="relative text-grey-900 text-14px leading-20px font-semibold w-full h-48px pr-100px pl-16px text-ellipsis appearance-none bg-white rounded border-[1px] border-grey300" aria-label="problem list"><option value="0">1 Introduction To Algebra</option><option value="1">2 Working With Real Numbers</option><option value="2">3 Solving Equation And Problems</option><option value="3">4 Polynomials</option><option value="4">5 Factoring Polynomials</option><option value="5">6 Fractions</option><option value="6">7 Applying Fractions</option><option value="7" selected="">8 Introduction To Functions</option><option value="8">9 Systems Of Linear Equations</option><option value="9">10 Inequalities</option><option value="10">11 Rational And Irrational Numbers</option><option value="11">12 Quadratic Functions</option></select><div style="width:-56px" class="absolute left-16px top-12px pr-8px pointer-events-none bg-white text-ellipsis overflow-hidden whitespace-nowrap"><span class="text-grey-900 text-14px leading-20px font-semibold">Chapter8: </span><span class="text-grey-900 text-14px leading-20px">Introduction To Functions</span></div><div class="absolute text-blue-600 top-12px right-12px pointer-events-none "><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="width:24px;height:24px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M16.59 8.59L12 13.17 7.41 8.59 6 10l6 6 6-6z"></path></svg></div></div></div><div class="flex-initial w-16px"></div><div class="flex-1"><div class="relative w-full overflow-hidden"><select class="relative text-grey-900 text-14px leading-20px font-semibold w-full h-48px pr-100px pl-16px text-ellipsis appearance-none bg-white rounded border-[1px] border-grey300" aria-label="problem list"><option value="7-0">8.1 Equations In Two Variables</option><option value="7-1">8.2 Points, Lines, And Their Graphs</option><option value="7-2">8.3 Slope Of A Line</option><option value="7-3">8.4 The Slope-intercept Form Of A Linear Equation</option><option value="7-4">8.5 Determining An Equation Of A Line</option><option value="7-5">8.6 Functions Defined By Tables And Graphs</option><option value="7-6">8.7 Functions Defined By Equations</option><option value="7-7">8.8 Linear And Quadratic Functions</option><option value="7-8" selected="">8.9 Direct Variation</option><option value="7-9">8.10 Inverse Variation</option><option value="7-10">Chapter Questions</option></select><div style="width:-56px" class="absolute left-16px top-12px pr-8px pointer-events-none bg-white text-ellipsis overflow-hidden whitespace-nowrap"><span class="text-grey-900 text-14px leading-20px font-semibold">Section8.9: </span><span class="text-grey-900 text-14px leading-20px">Direct Variation</span></div><div class="absolute text-blue-600 top-12px right-12px pointer-events-none "><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="width:24px;height:24px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M16.59 8.59L12 13.17 7.41 8.59 6 10l6 6 6-6z"></path></svg></div></div></div></div><div class="flex-initial flexRow w-full mt-16px"><div class="relative w-full overflow-hidden"><select class="relative text-grey-900 text-14px leading-20px font-semibold w-full h-48px pr-100px pl-16px text-ellipsis appearance-none bg-white rounded border-[1px] border-grey300" aria-label="problem list"><option value="0">Problem 1OE </option><option value="1">Problem 2OE </option><option value="2">Problem 3OE </option><option value="3">Problem 4OE </option><option value="4">Problem 5OE </option><option value="5">Problem 6OE </option><option value="6">Problem 7OE </option><option value="7">Problem 8OE </option><option value="8">Problem 9OE </option><option value="9">Problem 10OE </option><option value="10">Problem 11OE </option><option value="11">Problem 12OE </option><option value="12">Problem 13OE </option><option value="13">Problem 14OE </option><option value="14">Problem 15OE </option><option value="15">Problem 16OE </option><option value="16">Problem 17OE </option><option value="17">Problem 18OE </option><option value="18" selected="">Problem 19OE </option><option value="19">Problem 20OE </option><option value="20">Problem 21OE </option><option value="21">Problem 22OE </option><option value="22">Problem 23OE </option><option value="23">Problem 24OE </option><option value="24">Problem 1WE </option><option value="25">Problem 2WE </option><option value="26">Problem 3WE </option><option value="27">Problem 4WE </option><option value="28">Problem 5WE </option><option value="29">Problem 6WE </option><option value="30">Problem 7WE </option><option value="31">Problem 8WE </option><option value="32">Problem 9WE </option><option value="33">Problem 10WE </option><option value="34">Problem 11WE </option><option value="35">Problem 12WE </option><option value="36">Problem 13WE </option><option value="37">Problem 14WE </option><option value="38">Problem 15WE </option><option value="39">Problem 16WE </option><option value="40">Problem 17WE </option><option value="41">Problem 18WE </option><option value="42">Problem 19WE </option><option value="43">Problem 20WE </option><option value="44">Problem 21WE </option><option value="45">Problem 22WE </option><option value="46">Problem 23WE </option><option value="47">Problem 24WE </option><option value="48">Problem 1P </option><option value="49">Problem 2P </option><option value="50">Problem 3P </option><option value="51">Problem 4P </option><option value="52">Problem 5P </option><option value="53">Problem 6P </option><option value="54">Problem 7P </option><option value="55">Problem 8P </option><option value="56">Problem 9P </option><option value="57">Problem 10P </option><option value="58">Problem 11P </option><option value="59">Problem 12P </option><option value="60">Problem 13P </option><option value="61">Problem 14P </option><option value="62">Problem 15P </option><option value="63">Problem 1MRE </option><option value="64">Problem 2MRE </option><option value="65">Problem 3MRE </option><option value="66">Problem 4MRE </option><option value="67">Problem 5MRE </option><option value="68">Problem 6MRE </option><option value="69">Problem 7MRE </option><option value="70">Problem 8MRE </option><option value="71">Problem 9MRE </option><option value="72">Problem 10MRE </option><option value="73">Problem 11MRE </option><option value="74">Problem 12MRE </option></select><div style="width:-56px" class="absolute left-16px top-12px pr-8px pointer-events-none bg-white text-ellipsis overflow-hidden whitespace-nowrap"><span class="text-grey-900 text-14px leading-20px font-semibold">Problem 19OE </span></div><div class="absolute text-blue-600 top-12px right-12px pointer-events-none "><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="width:24px;height:24px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0V0z"></path><path d="M4 10.5c-.83 0-1.5.67-1.5 1.5s.67 1.5 1.5 1.5 1.5-.67 1.5-1.5-.67-1.5-1.5-1.5zm0-6c-.83 0-1.5.67-1.5 1.5S3.17 7.5 4 7.5 5.5 6.83 5.5 6 4.83 4.5 4 4.5zm0 12c-.83 0-1.5.68-1.5 1.5s.68 1.5 1.5 1.5 1.5-.68 1.5-1.5-.67-1.5-1.5-1.5zM7 19h14v-2H7v2zm0-6h14v-2H7v2zm0-8v2h14V5H7z"></path></svg></div></div></div></div><div class="flex-initial flex-row text-end w-full mt-16px"><a href="/subject/math/algebra/textbook-answers" class="standalone-link flex-initial" tabindex="0">See similar textbooks</a></div><div><div class="flexRow flex-initial items-center w-full pt-24px mt-24px border-t-[1px] border-athensGray2 "><div class="flex-initial flex w-24px h-24px rounded-full mr-16px " style="background-color:#D8199E"><img width="12px" height="14px" class="flex-initial justify-center items-center m-auto" src="/static/compass_v2/leftrail/relatedQuestions.svg" alt="icon" loading="lazy" decoding="async"/></div><div class="text-16px leading-24px text-darkBlue-900 font-semibold">Related questions</div><button aria-label="open related questions" aria-controls="related-question-panel" id="related-question-left-rail" aria-expanded="false" class="flext flex-initial ml-auto w-24px h-24px" tabindex="0"><img width="10px" height="5px" class="flex-initial justify-center items-center m-auto" src="/static/compass_v2/leftrail/expand.svg" alt="button" loading="lazy" decoding="async"/></button></div><div class="hidden w-full max-h-[250px] overflow-y-scroll" id="related-question-panel" aria-labelledby="#related-question-left-rail"><div class="flex flexCol flex-wrap overflow-x-hidden "></div><div class="flex flex-wrap overflow-hidden h-0px"><a href="/questions-and-answers/calculus-question/e93454c9-71bd-44fe-83e6-126b1f285069" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Calculus Question</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Approach to Solving the Question: After reviewing the screenshots, I can provide a step-by-step…</p></div></a><a href="/questions-and-answers/in-this-question-well-gather-information-for-sketching-the-function-1.-for-which-values-of-a-is-fx-c/94a913f7-4281-4a67-9f1a-74df50873d84" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: solve it please</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a><a href="/questions-and-answers/hi-i-need-help-with-derivatives-of-hyperbolic-functions.-how-do-i-differentiate-and-simplify-y-sinh-/33a89383-a01f-4ed3-81e2-1b857f0df5a1" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Hi i need help with Derivatives of Hyperbolic functions. How do I differentiate and simplify y =…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Step 1: Step 2: Step 3: Step 4:</p></div></a><a href="/questions-and-answers/find-the-derivative-of-the-function.-hx-1-x-sin-1x-hx-need-help-read-it-submit-answer-06-points-deta/678b0f86-ef8c-4318-bfc9-9968b6388c12" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Find the derivative of the function. h(x) = √1-x² sin-1(x) h'(x) = Need Help? Read It Submit Answer…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a><a href="/questions-and-answers/given-the-following-linear-regression-line-assume-s-0.025-y-0.095-x-0.12-follow-the-steps-below-to-c/c2285721-4332-4b20-a53c-84717a44dca2" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Given the following linear regression line (assume σ = 0.025): y = 0.095 x -0.12 Follow the steps…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Step 1Step 2Step 3 :3. Compute the probability that the observed value of flow rate will exceed…</p></div></a><a href="/questions-and-answers/fx-113x7-a-what-is-the-slope-of-the-funtions-graph-at-x5-slope-f5-b-what-is-equation-for-the-tangent/b12334ea-4b8b-441b-87e8-0439fa53fe61" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: f(x)= 1/(13x+7) a) what is the slope of the funtions graph at x=5? slope= f'(5) b) What is equation…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Step 1:The given function is f(x)=13x+71.Determine the…</p></div></a><a href="/questions-and-answers/sketch-the-region-enclosed-by-the-curves-y-2-sinx-y-2-cscx-x-and-x-3-and-compute-its-area.-a-4-4-sub/e1d41b62-b6ae-4951-9193-f11a08992577" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Sketch the region enclosed by the curves y = 2 sin(x), y = 2 csc²(x), x = and x = 3, and compute its…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Step 1:The graph of two function is given belowStep 2:Obviously2csc2x≥2sinxfor all x∈[4π,43π]So…</p></div></a><a href="/questions-and-answers/which-of-the-following-is-a-solution-of-the-initial-value-problem-y-lny-dx-x-dy-0-ye-e-dt-inlnt-k-1-/9aa2f7c0-9173-401f-8bce-df07872f6aab" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Which of the following is a solution of the initial value problem √ y ln(y) dx + x dy = 0 \y(e) = e…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: ANSWER :</p></div></a><a href="/questions-and-answers/instruction-course-name-calculus-with-analytical-geometry-1-course-code-math-132-1.-solution-must-ha/04f15a30-6d3f-4875-93ca-684a2d38e894" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Instruction: Course Name: Calculus with Analytical Geometry-1 Course Code: MATH 132 1. Solution must…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: The approximate area using trapezoidal rule under the curve y(x) for a≤x≤bis given…</p></div></a><a href="/questions-and-answers/let-fx-x-sin1x4e1x2-and-gx-e1x2-.using-the-familiar-properties-of-these-functions-compute-the-limit-/8792e242-149a-4ecb-82fe-a67e417bcbe4" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Let f(x)= x sin(1/x4)e−1/x2 and g(x)= e−1/x2 .Using the familiar properties of these functions,…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Why the results are surprising but not in conflict with Theorem 5.3.6.1 The results may seem…</p></div></a><a href="/questions-and-answers/question-5-find-a-correct-to-2-decimal-places.-53-upload-choose-a-file-95-x-40-3-pts/52db19f9-e19f-455d-8acb-75d2030748b1" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Question 5 Find a correct to 2 decimal places. 53° Upload Choose a File 95 X 40° 3 pts</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a><a href="/questions-and-answers/consider-the-solid-object-lying-inside-both-the-cylinderx2y21x2y21and-the-spherex2y2z24x2y2z24forz0z/95542a36-505a-4607-a7b0-4cf12af156ed" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Consider the solid object lying inside both the cylinder x2+y2=1x2+y2=1 and the sphere…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a><a href="/questions-and-answers/x-0-1-2-3-4-5-6-fx-3-2-1-2-3-4-0-fx-2-1-2-4-1-0-3-756-x-0-1-gx-1-3-gx-2-3-320-25-2-4-56-1-0-2-3-4-1-/65e4eab2-7447-4c18-ba9e-ec7bb88dd196" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Help me with the accurate answer pls</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: We solve the given problem by differentiating the expression 3f(x) + 4g(x) using the values from the…</p></div></a><a href="/questions-and-answers/for-1-find-parts-a-c-only.-do-not-solve-the-problem-1.-a-company-wishes-to-manufacture-an-open-recta/b7ea5eeb-0e74-46e5-87b8-d8e10f0b528d" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: For #1, find parts (a)-(c) only. DO NOT SOLVE the problem!!!! 1. A company wishes to manufacture an…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: a) A=s2+4shb) s2h=32c) A(s)=s2+s128</p></div></a><a href="/questions-and-answers/1-xx-4x-5-dx/bbc65d95-0cae-46f7-981b-481015f07262" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: 1 √x(x² + 4x + 5) dx</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: To solve this integral, we can use the method of partial fraction decomposition. Let's go through…</p></div></a><a href="/questions-and-answers/question-1-1-pts-the-function-z-4xy-6xy-3-xy-has-exactly-three-critical-points-forming-a-triangle-in/b5967d87-ffd3-48b6-b9f2-442e0e140fc6" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Question 1 1 pts The function z = 4x²y³ +6xy² + 3 xy has exactly three critical points, forming a…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: To find the value of cos(24 ∘), we don't need to analyze the critical points or the perimeter of the…</p></div></a><a href="/questions-and-answers/fx-y-x-y-2y-1-r-x-y-x-y-4/421b30ef-a23b-4ea2-aafa-d54085816958" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Find the absolute maximum and minimum values of the following functions on the given region R.</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Step 1:Givenf(x,y)=x2+y2−2y+1onR={(x,y):x2+y2≤4}The function is defined on a closed region. So…</p></div></a><a href="/questions-and-answers/s-1-x25-x2-dx/822a8645-1d46-41ef-ac98-29c6a08713d1" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: S 1 x²√25-x2 dx</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Step 1:Step 2: Step 3: Step 4:</p></div></a><a href="/questions-and-answers/question-5-find-a-correct-to-2-decimal-places.-53-upload-choose-a-file-95-x-40-3-pts/20404187-25db-46ad-a660-9c8ece1850b8" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: 1) Solve for x: log(x) + log(x + 4) = 2 2) A sector of a circle has a central angle of 45°. Find the…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: 1. log(x)+log(x+4)=2Addition Property: loga+logb=logablog[x(x+4)]=2log(x2+4x)=2Convert to an…</p></div></a><a href="/questions-and-answers/we-consider-a-sequence-x-1-of-independent-random-variables-such-that-px11-pxn-1-pn.-n-for-all-n-x.-w/a533735d-ef9e-4c09-b4b6-3ac6cee0fea1" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: We consider a sequence (X^)^-1 of independent random variables such that P(X=1)=1- P(Xn = −1) = Pn.…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a><a href="/questions-and-answers/fxye-x2-y2-2xy-how-would-i-find-the-maximum-value/ac10dffa-3491-412d-8d50-258585fd7f4b" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: f(x,y)=e^-x^2-y^2-2x+y How would I find the maximum value</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.</p></div></a><a href="/questions-and-answers/let-yx-be-the-solution-of-the-initial-value-problem-y-1-60-yx-h-y10-then-y4-4-lnk-with-k-equal-to-en/4d610811-340f-43db-85fa-29ba84c00a91" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Let y(x) be the solution of the initial value problem y' = 1 + + 60-y/x х , y(1)=0 Then y(4) 4 ln(k)…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: 1.Step 1:Giveny′=1+xy+6e−xyLety=vxTheny′=v+xv′The differential equation can be written…</p></div></a><a href="/questions-and-answers/2-suppose-that-fx-y-z-4x5y-2z-at-which-x-y-z-3-.-1.-absolute-minimum-of-fx-y-z-is-2.-absolute-maximu/014a4ee9-025b-4f51-a2da-53c6bd662a0f" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: 2 Suppose that f(x, y, z) = 4x+5y + 2z at which x² + y² + z ² ≤ 3 ². 1. Absolute minimum of f(x, y,…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a><a href="/questions-and-answers/4.-the-entrance-to-the-louvre-museum-in-paris-france-is-a-giant-glass-pyramid.-the-square-base-has-s/f7d8908c-5bbc-47f1-aaa5-117f7c710143" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: 4. The entrance to the Louvre Museum in Paris, France is a giant glass pyramid. The square base has…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: If you have any problem let me know in the comment section.</p></div></a><a href="/questions-and-answers/aless-x4-b-f-aa-0-x/4f2de7d9-79aa-4965-8165-03d5a7620566" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Consider following function f(x) = ln(x2 - 16) for x &gt; 4Attached figure shows a part of graph of…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: f(x)=ln(x^2−16) for x&gt;4. The graph cuts the x-axis at a point A(a,0) and has a tangent line L at…</p></div></a><a href="/questions-and-answers/course-name-calculus-with-analytical-geometry-1-course-code-math-132-do-not-use-artificial-intellige/528c6715-d869-4cf2-9064-17c76ad16160" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Do not use AI apps for solving these maths . To solve by handwriting</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: We are asked to find the limit of the function (x-2)^-16 as x approaches 2 using L'Hopital's Rule.…</p></div></a><a href="/questions-and-answers/a-doctor-prescribes-a-400-mg-antibiotic-tablet-to-be-taken-every-eight-hours.-it-is-known-that-the-b/696a96ea-5ae0-4d1d-a8d2-3c3020b24835" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: A doctor prescribes a 400 mg antibiotic tablet to be taken every eight hours. It is known that the…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Step 1: Step 2: Step 3: Step 4:</p></div></a><a href="/questions-and-answers/we-consider-a-sequence-x-1-of-i.i.d.-random-variables-such-that-px-1-px-1-12.-consider-the-filtratio/6050c4d1-5d91-487c-ac42-fdb4ac3d1691" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: We consider a sequence (X)-1 of i.i.d. random variables such that P(X₁ = 1) = P(X₁ = −1) = 1/2.…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a><a href="/questions-and-answers/b-prove-that-for-every-positive-integer-n-that-1-222-3-3-4-...-nn-1-nn-1n-23n-5-12/eb34b003-c7f3-4017-90a1-af8c08f038a6" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: (b) Prove that for every positive integer n that 1 × 22+2 × 3² + 3 × 4² + ... ·+n(n + 1)² = n(n +…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Step 1: Define the mathematical statement P(n) for all positive integers, i.e., ∀n∈N.…</p></div></a><a href="/questions-and-answers/t-1-for-the-function-yt-2-1-as-t-approaches-2-yt-approaches-13.4-which-of-the-following-applies-oy2-/76bc65d2-0216-4807-b767-839302d0277d" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: t-1 For the function y(t)= 2-1 , as t approaches 2, y(t) approaches 1/3.4 Which of the following…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a><a href="/questions-and-answers/consider-the-graph-of-the-function-fx-shown-below.-a-consider-the-function-at-the-point-1.-fx1-is-fx/9f64a86a-1853-4c31-bf70-7814d3367f1c" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: solve it and give the right answer</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: FIRST PART:We need to understand the following: The first derivative of f describes the monotonicity…</p></div></a><a href="/questions-and-answers/4-2-the-function-f-is-defined-by-fxx-for-x-greater-0.-x3-part-a-find-fx.-part-b-write-an-equation-fo/a7ae58c1-7d9b-4f61-931f-aa355a5317f1" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: 4 2 The function f is defined by f(x)=√x for x > 0. x3 Part A: Find f'(x). Part B: Write an equation…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Step 1:The given function is:f(x)=x4−x32This can be written as:f(x)=x214−x32f(x)=4x−21−2x−3…</p></div></a><a href="/questions-and-answers/ma-ning-resources-ils-sketch-the-region-enclosed-by-the-curves-x-6-2y-and-x-16y-5-and-compute-its-ar/9539c962-af70-4d22-aa9a-36e20fe36923" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: ما ning Resources ils Sketch the region enclosed by the curves x-6= 2y and x-16=(y-5)², and compute…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: See the attachments below.</p></div></a><a href="/questions-and-answers/4-the-volume-of-a-sphere-is-v-pr.-suppose-we-know-dr-2mmin.-how-fast-is-the-volume-changing-when-the/74b679e2-83ae-4e80-b122-67b8f4383420" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: please help thank you a lot</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a><a href="/questions-and-answers/if-fx-1-orxor-a.-infinity-sin-s-then-fo-select-one-true-o-false-s-ds-p./3640b5e6-9568-45d2-907f-de618a431446" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: If f(x) √ 1, |x| a. ∞ sin s then fo Select one: ○ True O False S ds = π.</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Given: I=∫0∞ssin(s)ds. This is known as the Dirichlet Integral. Understanding the Improper…</p></div></a><a href="/questions-and-answers/find-the-upper-and-lower-bound-for-da-where-r-xyor-1lessless4-1lessy2-r-double-integral-plot-of-inte/ce71357e-61af-4c45-9c0e-f14798f64b7a" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Find the upper and lower bound for ²²dA where R = {(x,y)| -1<<4,-1<y≤2} √ √ R Double Integral Plot…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Step-by-Step Solution:1. Define the FunctionWe are given f(x,y)=x2y2 , which is non-negative, so…</p></div></a><a href="/questions-and-answers/7.-given-yx-3yx-e.-describe-yparticular-x-but-do-not-find-it./bb07225b-86ad-4f83-8709-eaded41f97ca" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: 7. Given y()(x) — 3y(x) = e**. Describe Yparticular (x) but do not find it.</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Differential Equation Overview: This is a non-homogeneous linear differential equation of fourth…</p></div></a><a href="/questions-and-answers/if-fx2x5-cosx-what-is-fx/559a9c51-73ba-4f4b-aef4-cc2ab3a73c8f" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: If f(x)=2x^5 cos(x), what is f'(x)?</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Step 1:Step 2: Step 3: Step 4:</p></div></a><a href="/questions-and-answers/6.-1-points-details-my-notes-tanapcalcbr10-3.r.026.-ask-your-teacher-practice-another-find-the-deriv/086882e3-a73a-4233-9219-d710abd8d4c8" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: 6. [-/1 Points] DETAILS MY NOTES TANAPCALCBR10 3.R.026. ASK YOUR TEACHER PRACTICE ANOTHER Find the…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: 6. Use the product rule in combination with the power rule to get the derivative:Product…</p></div></a><a href="/questions-and-answers/prove-that-the-equation-2x-orxor-2-cosx-4-has-exactly-two-solutions./6660ad77-bf81-4b8b-b4b9-d08685e103a3" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Prove that the equation 2x² + |x| - 2 cos(x) = 4 has exactly two solutions.</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a><a href="/questions-and-answers/12-euro3-6.-given-y-2x-3yx-3xsin-5x.-describe-yparticular-x-but-do-not-find-it.-7.-given-y-2-x-3yx-e/7a6221c4-fc25-442b-807c-202e77c04a5f" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: 1,2, €3 6. Given y (2)(x) - 3y(x) = 3xsin (5x). Describe Yparticular (x) but do not find it. 7.…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: :</p></div></a><a href="/questions-and-answers/s-q4.-5-marks-i-have-100-m-of-fencing-and-i-want-to-fence-off-an-area-in-the-middle-of-a-large-field/c68f741d-6d20-41a8-8b12-77cd314c4506" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: S Q4. [5 marks] I have 100 m of fencing and I want to fence off an area in the middle of a large…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Step 1: Step 2: Step 3: Step 4:</p></div></a><a href="/questions-and-answers/hi-i-need-help-with-derivatives-of-hyperbolic-functions.-how-do-i-differentiate-and-simplify-y-5-cos/6d51d965-c834-4274-8b05-379177cf0b52" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Hi i need help with Derivatives of Hyperbolic functions. How do I differentiate and simplify y = 5…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Step 1: Step 2:</p></div></a><a href="/questions-and-answers/find-the-indefinite-integral.-1.-s-sin6-x-cos-x-dx-2.-s-sin-4x-cos-4x-dx-3.-s-sin-3x-cos-3x-dx-page-/0cbc957a-7080-44ad-b1e6-232d57dbf3b0" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Solve all parts show work pls</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a><a href="/questions-and-answers/if-u-3y2ex-xey-5ez-v-xex-y-zey-and-a-5x3-y-yz-evaluate-a-uv-b-uv-c-v-d-a-e-u-based-on-your-answers-a/ef476a76-d9c3-45e3-81a3-ab09de8950a6" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: If u = 3y^2ex − xey + 5ez, v = xex + (y − z)ey, and a = 5x^3 − y + yz, evaluate:(a) u·v (b) u×v (c)…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Givenu=3y2ex−xey+5ezv=xex+(y−z)eyand a=5x3−y+yz(a) Dot product u⋅vIf u=u1ex−u2ey+u3ez and…</p></div></a><a href="/questions-and-answers/consider-the-sequences-ap-and-bn-1-1-n-complete-the-following-steps-a.-calculate-limninfinity-an-b.-/81c46ae0-fe27-4000-9dd6-3659e7c72611" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: Consider the sequences ап = ✓ and bn (−1)"-1 = √n Complete the following steps: A. Calculate limn→∞…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Step 1: Step 2: Step 3: Step 4:</p></div></a><a href="/questions-and-answers/in-this-question-we-will-investigate-the-area-of-a-rectangle-that-can-be-circumscribed-about-a-given/4e02f39a-3404-4978-9d05-b134a9be2cb4" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: answer it</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Ans: minimum area:Ans second blank: value of x:Ans maximum area page 1:Ans maximum area page 2:Ans…</p></div></a><a href="/questions-and-answers/1-if-a-is-a-positive-constant-what-is-the-maximum-value-of-the-function-inz-fx/e655f0a3-1d3f-45f3-9c2e-2a7e5bdce2b9" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: 1) If a is a positive constant, what is the maximum value of the function In(z) f(x) = -?</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: </p></div></a><a href="/questions-and-answers/0.-express-the-function-as-the-sum-of-a-power-series-by-first-using-partial-fractions.-give-your-pow/d92d7bb7-c1ad-4de9-9edf-351d825dfb8f" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: = 0.) Express the function as the sum of a power series by first using partial fractions. (Give your…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: Step 1: Step 2: Step 3: Step 4:</p></div></a><a href="/questions-and-answers/11.-let-fx-x-1x-4-a-find-the-equation-of-the-tangent-line-to-the-graph-of-fx-at-the-point-2-2.-3.-2-/be4c5a04-c661-49e2-8ebb-77c3147e88a0" class="flex-1 w-full no-underline mx-2px mt-2px mb-24px" tabindex="0"><div class="w-full lg:max-w-[255px]"><p class="text-grey-500 flex-1 m-0 text-16px font-semibold leading-24px -tracking-0.1px pb-6px w-[100%] break-words line-clamp-2">Q: 11. Let - f(x) = −(x − 1)(x − 4) (a) Find the equation of the tangent line to the graph of f(x) at…</p><p class="flex-1 m-0 text-shark text-14px leading-20px -tracking-0.1px w-[100%] break-words line-clamp-2">A: a) The equation of the tangent line is y = x.b) Graph of equation of tangent intersects the function…</p></div></a></div></div></div></div><div id="qa_ad_sidebar" class="mt-[1rem] mx-auto mb-0 min-h-[250px] max-h-[600px] w-[300px] max-md:hidden"></div></div><div id="QNA-PAGE-MIDDLE-MAIN" class="flexCol"><div class="flex flex-col-reverse sm:flex-row sm:justify-between sm:items-center"><div class="flex flex-initial border-l-[2px] border-solid border-yellow700"><div aria-level="2" role="heading" data-section-name="Question" class="flex-initial text-20px font-semibold font-sans text-darkBlue-900 ml-8px md:text-24px">Question</div></div></div><div class="flexCol flex-initial border-[1px] mt-24px p-24px rounded-lg border-solid border-ghost bg-white"><div class="font-sans text-16px text-black leading-24px mb-24px"></div><figure class=""><div class="relative"><img alt="Find all first and second order partial derivatives of the given function. f(x,y) =xcos(y) sin(x) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS = P + Paragraph Open Sans,ari... 10pt >11< ABC - く ✓ QUESTION 5 + y2 f(x,y) = x²+2x-3y +xy + Find the equation of the tangent plane to the surface at (2,1). x + ]y-z=[ 99 Ω !!! > > <| > A < < Ix A 88 QUESTION 6 f(x,y) = x²- xy + y2 Use a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places. E" fetchpriority="high" width="801" height="680" decoding="async" data-nimg="1" style="color:transparent;max-width:100%;height:auto;max-height:540px;aspect-ratio:801 / 680" sizes="(min-width: 1320px) 788px, (min-width: 1040px) calc(88.08vw - 357px), (min-width: 860px) calc(100vw - 131px), calc(97.04vw - 74px)" srcSet="/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=16&q=75 16w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=32&q=75 32w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=48&q=75 48w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=64&q=75 64w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=96&q=75 96w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=128&q=75 128w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=256&q=75 256w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=384&q=75 384w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=640&q=75 640w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=750&q=75 750w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=828&q=75 828w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=1080&q=75 1080w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=1200&q=75 1200w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=1920&q=75 1920w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=2048&q=75 2048w, /v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=3840&q=75 3840w" src="/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ae690-9b29-4664-b591-03f86d69ed48%2Faac6577f-de09-48a0-b49f-a7318fd82e4a%2Fdc6826_processed.png&w=3840&q=75"/></div><div class="w-full mt-16px bg-cometB/30 p-8px"><span class="font-semibold text-darkBlue-900 text-12px leading-24px mr-8px">Transcribed Image Text:</span><span class=" text-darkBlue-900 text-12px leading-16px my-16px mx-0px">Find all first and second order partial derivatives of the given function. f(x,y) =xcos(y) sin(x) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS = P + Paragraph Open Sans,ari... 10pt >11< ABC - く ✓ QUESTION 5 + y2 f(x,y) = x²+2x-3y +xy + Find the equation of the tangent plane to the surface at (2,1). x + ]y-z=[ 99 Ω !!! > > <| > A < < Ix A 88 QUESTION 6 f(x,y) = x²- xy + y2 Use a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places. E</span></div></figure></div><div class="flex flex-initial items-center mt-24px border-l-[2px] border-solid border-yellow700"><div aria-level="2" role="heading" data-section-name="Expert Solution" class="flex-initial text-20px font-semibold font-sans text-darkBlue-900 ml-8px md:text-24px">Expert Solution</div><img class="w-24px h-24px ml-16px" src="/static/compass_v2/shared-icons/check-mark.png" alt="" decoding="async" width="24" height="24"/></div><div id="Expert-Solution" class="paywall"></div><div id="solution-summary-v2-wrapper" class="hidden relative flexCol flex-initial border-[1px] mt-24px p-24px rounded-lg border-solid border-ghost bg-white"><div class="relative"><div style="height:350px" class="relative"><div class="sticky top-[50px] bg-darkBlue600 flex flex-col p-[16px] md:p-[24px] gap-[24px] max-w-[300px] md:max-w-[450px] m-auto items-center text-center rounded-[8px] z-[800]"><div class="flex flex-col gap-[10px] items-center"><div class="text-[24px] leading-[32px] p-[10px] text-white font-sans font-semibold">This question has been solved!</div><div class="text-[16px] leading-[24px] font-sans text-white">Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.</div></div><div class="mt-24px flex flex-col items-center text-center sm:m-0"><a href="/account/registration" class="flex-initial w-[100%] secondary-button sm:w-[264px] justify-center mb-16px" tabindex="0">SEE SOLUTION</a><a href="/questions-and-answers/1-determine-the-area-of-the-region-bounded-by-the-graph-of-the-function-and-the-tangent-line-to-the-/0001183d-8c9b-44b2-a8b7-072b245cc489" target="_blank" class="flex-initial text-16px underline text-white cursor-pointer text-left leading-24px" tabindex="0">Check out a sample Q&A here</a></div></div><div class="flex flex-col gap-[24px] w-[100%] absolute top-0"><div class="flex h-[330px] bg-[url('/static/compass_v2/solutionSummary/blurred-answer-V2.jpg')]"></div></div></div></div><div class="flex-1"></div></div><div id="solution-summary-v1-wrapper" class="block flexCol flex-initial border-[1px] mt-24px p-24px rounded-lg border-solid border-ghost bg-white"><div class="flex flex-col p-24px sm:p-48px bg-darkBlue600 rounded-[10px] sm:flex-row justify-between sm:items-center"><div><div class="flex flex-row justify-start mt-18px"><div class="mr-10px"><img width="24px" height="24px" src="/static/compass_v2/solutionSummary/steps.svg" alt="steps" loading="lazy" decoding="async"/></div><div><p class="p-0 m-0 text-20px leading-24px text-white font-sans font-semibold">Step by step</p><p class="p-0 m-0 mt-8px text-20px leading-24px text-white font-sans">Solved in 2 steps with 3 images</p></div></div></div><div class="mt-24px flex flex-col items-center text-center sm:m-0"><a href="/account/registration" class="flex-initial w-[100%] secondary-button sm:w-[264px] justify-center mb-16px" tabindex="0">SEE SOLUTION</a><a href="/questions-and-answers/1-determine-the-area-of-the-region-bounded-by-the-graph-of-the-function-and-the-tangent-line-to-the-/0001183d-8c9b-44b2-a8b7-072b245cc489" target="_blank" class="flex-initial text-16px underline text-white cursor-pointer text-left leading-24px" tabindex="0">Check out a sample Q&A here</a></div></div><div class="flex-1"><img width="628" height="112" src="/static/compass_v2/solution-images/blurred-answer.jpg" alt="Blurred answer" decoding="async" loading="lazy" style="aspect-ratio:5.607142857142857;width:100%"/></div></div></div></div><div id="QNA-PAGE-BOTTOM-CONTENT" class="flexCol w-full max-w-1188px mx-auto px-16px bg-page relative"><div class="pt-80px pb-[160px]" id="knowledge_booster_container"><div class="mt-32px mb-80px md:mb-0" id="similar-questions"><div class="flex items-center justify-between"><div class="block text-24px leading-20px text-darkBlue-900 font-semibold font-sans" data-section-name="Similar questions">Similar questions</div><div class="hidden md:flex cursor-pointer w-[40px] justify-between"><button aria-label="Previous items" tabindex="0"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" class="button-icon" style="color:#5B63FE;height:14px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M11.67 3.87L9.9 2.1 0 12l9.9 9.9 1.77-1.77L3.54 12z"></path></svg></button><button aria-label="Next items" tabindex="0"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" class="button-icon" style="color:#5B63FE;height:14px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0V0z"></path><path d="M6.23 20.23L8 22l10-10L8 2 6.23 3.77 14.46 12z"></path></svg></button></div></div><div class="relative"><ul class="flex overflow-hidden w-[100%]"><li class="m-w-[100%] list-none text-left block [&+li]:block }"><div class="flex flex-col mt-40px w-[100%] sm:flex-row"><a href="/questions-and-answers/explain-why-z-2-x-3y-is-not-a-function-of-x-and-y./eabc9cd2-e355-40db-a95e-96c32a41c4c1" class="mr-24px" tabindex="0"><div class="mb-20px m-w-[100%] w-[250px] no-underline border-[1px] border-solid border-grey100 p-[16px] md:mb-0px md:w-[318px] m-h-[134px] leading-24px hover:bg-banner-info"><div class="odd:mr-0px flex items-end justify-between w-[100%]"><div class="flex overflow-hidden h-[100px] "><div style="display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:4" class="m-w-[350px] text-16px overflow-hidden text-grey-500">Explain why z2 = x + 3y is not a function of x and y.</div></div><div class="flex ml-24px text-darkBlue900 text-24px"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="color:#5B63FE" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M12 4l-1.41 1.41L16.17 11H4v2h12.17l-5.58 5.59L12 20l8-8z"></path></svg></div></div></div></a><a href="/questions-and-answers/draw-y-fx-1-1-1-2-2.51/d4f0c094-393c-4e30-ac53-6d89c6749924" class="mr-24px" tabindex="0"><div class="mb-20px m-w-[100%] w-[250px] no-underline border-[1px] border-solid border-grey100 p-[16px] md:mb-0px md:w-[318px] m-h-[134px] leading-24px hover:bg-banner-info"><div class="odd:mr-0px flex items-end justify-between w-[100%]"><div class="flex overflow-hidden h-[100px] "><div style="display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:4" class="m-w-[350px] text-16px overflow-hidden text-grey-500">Draw y² = f(x) 1+ (1,-1) 2 (2.5,1)</div></div><div class="flex ml-24px text-darkBlue900 text-24px"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="color:#5B63FE" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M12 4l-1.41 1.41L16.17 11H4v2h12.17l-5.58 5.59L12 20l8-8z"></path></svg></div></div></div></a><a href="/questions-and-answers/find-the-derivative-of-the-function.-ax-6x-9-8x-o-12x-9-8x-6x-9-o-181-9-82-8x-9-o-48x9-8x-3.-o-36x-9/4a2b2458-a1a7-41e9-8333-c329400ef824" class="mr-24px" tabindex="0"><div class="mb-20px m-w-[100%] w-[250px] no-underline border-[1px] border-solid border-grey100 p-[16px] md:mb-0px md:w-[318px] m-h-[134px] leading-24px hover:bg-banner-info"><div class="odd:mr-0px flex items-end justify-between w-[100%]"><div class="flex overflow-hidden h-[100px] "><div style="display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:4" class="m-w-[350px] text-16px overflow-hidden text-grey-500">Find the derivative of the function. 4. Az) = 6x (9 - 8x)* O (-12x) (9 - 8x)(6x-9) O (-182 )(9 - 8x) (8x – 9) O 48x(9 - 8x)3 3 (- 36x) (9 - 8x) (8x- 3) O (12x) (9 - 8x) (6x- 9) « Previous</div></div><div class="flex ml-24px text-darkBlue900 text-24px"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="color:#5B63FE" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M12 4l-1.41 1.41L16.17 11H4v2h12.17l-5.58 5.59L12 20l8-8z"></path></svg></div></div></div></a></div></li><li class="m-w-[100%] list-none text-left hidden }"><div class="flex flex-col mt-40px w-[100%] sm:flex-row"><a href="/questions-and-answers/find-an-expression-for-the-function-fx-whose-graph-is-a-line-passing-through-the-points-4-5-and-9-9./b77d19a3-4889-4185-aad1-3e94463659ff" class="mr-24px" tabindex="0"><div class="mb-20px m-w-[100%] w-[250px] no-underline border-[1px] border-solid border-grey100 p-[16px] md:mb-0px md:w-[318px] m-h-[134px] leading-24px hover:bg-banner-info"><div class="odd:mr-0px flex items-end justify-between w-[100%]"><div class="flex overflow-hidden h-[100px] "><div style="display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:4" class="m-w-[350px] text-16px overflow-hidden text-grey-500">Find an expression for the function f(x) whose graph is a line passing through the points (4, 5) and (9,-9). f(x) =</div></div><div class="flex ml-24px text-darkBlue900 text-24px"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="color:#5B63FE" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M12 4l-1.41 1.41L16.17 11H4v2h12.17l-5.58 5.59L12 20l8-8z"></path></svg></div></div></div></a><a href="/questions-and-answers/direction-find-the-derivatives-of-the-following-functions-4.-fx-v2x-3-5.-fx-2-x-5-4-4-x5-1/ffbe7d89-f6ab-405e-959d-2017b56b3cbe" class="mr-24px" tabindex="0"><div class="mb-20px m-w-[100%] w-[250px] no-underline border-[1px] border-solid border-grey100 p-[16px] md:mb-0px md:w-[318px] m-h-[134px] leading-24px hover:bg-banner-info"><div class="odd:mr-0px flex items-end justify-between w-[100%]"><div class="flex overflow-hidden h-[100px] "><div style="display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:4" class="m-w-[350px] text-16px overflow-hidden text-grey-500">Direction: Find the derivatives of the following functions: 4. f(x) = v2x* +3 5. f(x) = (2 x? + 5)-4 (4 x5 + 1)</div></div><div class="flex ml-24px text-darkBlue900 text-24px"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="color:#5B63FE" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M12 4l-1.41 1.41L16.17 11H4v2h12.17l-5.58 5.59L12 20l8-8z"></path></svg></div></div></div></a><a href="/questions-and-answers/find-the-derivative-of-each-function.-hx-4x-8x16-5x-145x7-240x4-192x4-128-160x7-240x5-128x-192-192x-/eccba6a5-49c2-4c0c-8856-1991df119e4a" class="mr-24px" tabindex="0"><div class="mb-20px m-w-[100%] w-[250px] no-underline border-[1px] border-solid border-grey100 p-[16px] md:mb-0px md:w-[318px] m-h-[134px] leading-24px hover:bg-banner-info"><div class="odd:mr-0px flex items-end justify-between w-[100%]"><div class="flex overflow-hidden h-[100px] "><div style="display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:4" class="m-w-[350px] text-16px overflow-hidden text-grey-500">Find the derivative of each function. h(x) = (4x³ + 8x)(16 – 5x) 145x7 – 240x4 – 192x* + 128 O -160x7 + 240x° – 128x² – 192 O 192x7 + 145x³ + 240x4 – 128 O -160x7 – 240x° + 192x² + 128</div></div><div class="flex ml-24px text-darkBlue900 text-24px"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="color:#5B63FE" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M12 4l-1.41 1.41L16.17 11H4v2h12.17l-5.58 5.59L12 20l8-8z"></path></svg></div></div></div></a></div></li><li class="m-w-[100%] list-none text-left hidden }"><div class="flex flex-col mt-40px w-[100%] sm:flex-row"><a href="/questions-and-answers/find-f-1-if-f-z-iz-1./0479df5f-f9db-47ba-b944-9d5c5d182b71" class="mr-24px" tabindex="0"><div class="mb-20px m-w-[100%] w-[250px] no-underline border-[1px] border-solid border-grey100 p-[16px] md:mb-0px md:w-[318px] m-h-[134px] leading-24px hover:bg-banner-info"><div class="odd:mr-0px flex items-end justify-between w-[100%]"><div class="flex overflow-hidden h-[100px] "><div style="display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:4" class="m-w-[350px] text-16px overflow-hidden text-grey-500">Find f-1 if f (z) = iz + 1.</div></div><div class="flex ml-24px text-darkBlue900 text-24px"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" style="color:#5B63FE" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M12 4l-1.41 1.41L16.17 11H4v2h12.17l-5.58 5.59L12 20l8-8z"></path></svg></div></div></div></a></div></li></ul><div class="flex items-baseline justify-center mb-40px"><div class="block md:hidden text-blue-400"><button tabindex="0"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" class="button-icon" style="width:14px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M11.67 3.87L9.9 2.1 0 12l9.9 9.9 1.77-1.77L3.54 12z"></path></svg></button></div><ul class="flex flex-row justify-center items-center mt-[20px] ps-[40px] "><li class="cursor-pointer list-disc w-15px text-[35px] ml-[9px] text-blue-400"></li><li class="cursor-pointer list-disc w-15px text-[35px] ml-[9px] text-iron"></li><li class="cursor-pointer list-disc w-15px text-[35px] ml-[9px] text-iron"></li></ul><div class="block md:hidden text-blue-400"><button tabindex="0"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" class="button-icon" style="width:14px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0V0z"></path><path d="M6.23 20.23L8 22l10-10L8 2 6.23 3.77 14.46 12z"></path></svg></button></div></div></div></div><div class="mt-45px md:mt-48px"><div class="flex items-center justify-between"><div class="block text-20px leading-20px text-darkBlue-900 font-semibold font-sans" role="heading" aria-level="2">Recommended textbooks for you</div><div class="hidden md:flex cursor-pointer w-[40px] justify-between"><button aria-label="Previous items" tabindex="0"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" class="button-icon" style="color:#5B63FE;height:14px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0z"></path><path d="M11.67 3.87L9.9 2.1 0 12l9.9 9.9 1.77-1.77L3.54 12z"></path></svg></button><button aria-label="Next items" tabindex="0"><svg stroke="currentColor" fill="currentColor" stroke-width="0" viewBox="0 0 24 24" class="button-icon" style="color:#5B63FE;height:14px" height="1em" width="1em" xmlns="http://www.w3.org/2000/svg"><path fill="none" d="M0 0h24v24H0V0z"></path><path d="M6.23 20.23L8 22l10-10L8 2 6.23 3.77 14.46 12z"></path></svg></button></div></div><div class="hidden mt-40px overflow-hidden justify-between md:flex"><li class="m-auto w-[100%] max-w-[100%] list-none text-left block"><div class="flex w-[100%] flex-col justify-between md:flex-row"><div class="min-w-[80%] mr-[40px] sm:min-w-[45%] md:min-w-[50%] mdl:min-w-[30%] md:m-0"><div class="flex"><img class="m-5px h-[146px] w-[113px] md:m-0 md:mr-16px" src="https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif" alt="Algebra: Structure And Method, Book 1" loading="lazy" decoding="async"/><div class="w-[70%] mdl:w-[56%]"><a href="/high-school-textbooks/algebra-structure-and-method-book-1/9780395977224/solutions" class="text-16px font-semibold leading-24px cursor-pointer no-underline text-grey-900 hover:no-underline" tabindex="0">Algebra: Structure And Method, Book 1</a><div class="flex items-center mt-8px text-grey-500 text-14px"><div class="w-12px h-12px bg-green50 rounded-[50%] flex items-center justify-center mr-8px"><div class="w-4px h-4px bg-green300 rounded-[50%]"></div></div>Algebra</div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">ISBN:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">9780395977224</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Author:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Publisher:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">McDougal Littell</div></div></div></div></div><div class="min-w-[80%] mr-[40px] sm:min-w-[45%] md:min-w-[50%] mdl:min-w-[30%] md:m-0"><div class="flex"><img class="m-5px h-[146px] w-[113px] md:m-0 md:mr-16px" src="https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg" alt="Holt Mcdougal Larson Pre-algebra: Student Edition…" loading="lazy" decoding="async"/><div class="w-[70%] mdl:w-[56%]"><a href="/high-school-textbooks/holt-mcdougal-larson-pre-algebra-student-edition-2012-1st-edition/9780547587776/solutions" class="text-16px font-semibold leading-24px cursor-pointer no-underline text-grey-900 hover:no-underline" tabindex="0">Holt Mcdougal Larson Pre-algebra: Student Edition…</a><div class="flex items-center mt-8px text-grey-500 text-14px"><div class="w-12px h-12px bg-green50 rounded-[50%] flex items-center justify-center mr-8px"><div class="w-4px h-4px bg-green300 rounded-[50%]"></div></div>Algebra</div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">ISBN:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">9780547587776</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Author:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">HOLT MCDOUGAL</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Publisher:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">HOLT MCDOUGAL</div></div></div></div></div><div class="min-w-[80%] mr-[40px] sm:min-w-[45%] md:min-w-[50%] mdl:min-w-[30%] md:m-0"><div class="flex"><img class="m-5px h-[146px] w-[113px] md:m-0 md:mr-16px" src="https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif" alt="College Algebra (MindTap Course List)" loading="lazy" decoding="async"/><div class="w-[70%] mdl:w-[56%]"><a href="/textbooks/college-algebra-mindtap-course-list-12th-edition/9781305652231/solutions" class="text-16px font-semibold leading-24px cursor-pointer no-underline text-grey-900 hover:no-underline" tabindex="0">College Algebra (MindTap Course List)</a><div class="flex items-center mt-8px text-grey-500 text-14px"><div class="w-12px h-12px bg-green50 rounded-[50%] flex items-center justify-center mr-8px"><div class="w-4px h-4px bg-green300 rounded-[50%]"></div></div>Algebra</div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">ISBN:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">9781305652231</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Author:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">R. David Gustafson, Jeff Hughes</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Publisher:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">Cengage Learning</div></div></div></div></div></div></li><li class="m-auto w-[100%] max-w-[100%] list-none text-left hidden"><div class="flex w-[100%] flex-col justify-between md:flex-row"><div class="min-w-[80%] mr-[40px] sm:min-w-[45%] md:min-w-[50%] mdl:min-w-[30%] md:m-0"><div class="flex"><img class="m-5px h-[146px] w-[113px] md:m-0 md:mr-16px" src="https://s3.amazonaws.com/compass-isbn-assets/textbook_empty_images/small_textbook_empty.svg" alt="Algebra & Trigonometry with Analytic Geometry" loading="lazy" decoding="async"/><div class="w-[70%] mdl:w-[56%]"><a href="/textbooks/algebra-and-trigonometry-with-analytic-geometry-13th-edition/9781133382119/solutions" class="text-16px font-semibold leading-24px cursor-pointer no-underline text-grey-900 hover:no-underline" tabindex="0">Algebra & Trigonometry with Analytic Geometry</a><div class="flex items-center mt-8px text-grey-500 text-14px"><div class="w-12px h-12px bg-green50 rounded-[50%] flex items-center justify-center mr-8px"><div class="w-4px h-4px bg-green300 rounded-[50%]"></div></div>Algebra</div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">ISBN:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">9781133382119</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Author:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">Swokowski</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Publisher:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">Cengage</div></div></div></div></div><div class="min-w-[80%] mr-[40px] sm:min-w-[45%] md:min-w-[50%] mdl:min-w-[30%] md:m-0"><div class="flex"><img class="m-5px h-[146px] w-[113px] md:m-0 md:mr-16px" src="https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif" alt="College Algebra" loading="lazy" decoding="async"/><div class="w-[70%] mdl:w-[56%]"><a href="/textbooks/college-algebra-1st-edition/9781938168383/solutions" class="text-16px font-semibold leading-24px cursor-pointer no-underline text-grey-900 hover:no-underline" tabindex="0">College Algebra</a><div class="flex items-center mt-8px text-grey-500 text-14px"><div class="w-12px h-12px bg-green50 rounded-[50%] flex items-center justify-center mr-8px"><div class="w-4px h-4px bg-green300 rounded-[50%]"></div></div>Algebra</div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">ISBN:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">9781938168383</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Author:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">Jay Abramson</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Publisher:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">OpenStax</div></div></div></div></div><div class="min-w-[80%] mr-[40px] sm:min-w-[45%] md:min-w-[50%] mdl:min-w-[30%] md:m-0"><div class="flex"><img class="m-5px h-[146px] w-[113px] md:m-0 md:mr-16px" src="https://www.bartleby.com/isbn_cover_images/9781337111348/9781337111348_smallCoverImage.gif" alt="Functions and Change: A Modeling Approach to Coll…" loading="lazy" decoding="async"/><div class="w-[70%] mdl:w-[56%]"><a href="/textbooks/functions-and-change-a-modeling-approach-to-college-algebra-mindtap-course-list-6th-edition/9781337111348/solutions" class="text-16px font-semibold leading-24px cursor-pointer no-underline text-grey-900 hover:no-underline" tabindex="0">Functions and Change: A Modeling Approach to Coll…</a><div class="flex items-center mt-8px text-grey-500 text-14px"><div class="w-12px h-12px bg-green50 rounded-[50%] flex items-center justify-center mr-8px"><div class="w-4px h-4px bg-green300 rounded-[50%]"></div></div>Algebra</div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">ISBN:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">9781337111348</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Author:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">Bruce Crauder, Benny Evans, Alan Noell</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Publisher:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">Cengage Learning</div></div></div></div></div></div></li></div><div class="flex overflow-scroll mt-40px md:hidden"><div class="min-w-[80%] mr-[40px] sm:min-w-[45%] md:min-w-[50%] mdl:min-w-[30%] md:m-0"><div class="flex"><img class="m-5px h-[146px] w-[113px] md:m-0 md:mr-16px" src="https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif" alt="Algebra: Structure And Method, Book 1" loading="lazy" decoding="async"/><div class="w-[70%] mdl:w-[56%]"><a href="/high-school-textbooks/algebra-structure-and-method-book-1/9780395977224/solutions" class="text-16px font-semibold leading-24px cursor-pointer no-underline text-grey-900 hover:no-underline" tabindex="0">Algebra: Structure And Method, Book 1</a><div class="flex items-center mt-8px text-grey-500 text-14px"><div class="w-12px h-12px bg-green50 rounded-[50%] flex items-center justify-center mr-8px"><div class="w-4px h-4px bg-green300 rounded-[50%]"></div></div>Algebra</div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">ISBN:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">9780395977224</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Author:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Publisher:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">McDougal Littell</div></div></div></div></div><div class="min-w-[80%] mr-[40px] sm:min-w-[45%] md:min-w-[50%] mdl:min-w-[30%] md:m-0"><div class="flex"><img class="m-5px h-[146px] w-[113px] md:m-0 md:mr-16px" src="https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg" alt="Holt Mcdougal Larson Pre-algebra: Student Edition…" loading="lazy" decoding="async"/><div class="w-[70%] mdl:w-[56%]"><a href="/high-school-textbooks/holt-mcdougal-larson-pre-algebra-student-edition-2012-1st-edition/9780547587776/solutions" class="text-16px font-semibold leading-24px cursor-pointer no-underline text-grey-900 hover:no-underline" tabindex="0">Holt Mcdougal Larson Pre-algebra: Student Edition…</a><div class="flex items-center mt-8px text-grey-500 text-14px"><div class="w-12px h-12px bg-green50 rounded-[50%] flex items-center justify-center mr-8px"><div class="w-4px h-4px bg-green300 rounded-[50%]"></div></div>Algebra</div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">ISBN:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">9780547587776</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Author:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">HOLT MCDOUGAL</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Publisher:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">HOLT MCDOUGAL</div></div></div></div></div><div class="min-w-[80%] mr-[40px] sm:min-w-[45%] md:min-w-[50%] mdl:min-w-[30%] md:m-0"><div class="flex"><img class="m-5px h-[146px] w-[113px] md:m-0 md:mr-16px" src="https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif" alt="College Algebra (MindTap Course List)" loading="lazy" decoding="async"/><div class="w-[70%] mdl:w-[56%]"><a href="/textbooks/college-algebra-mindtap-course-list-12th-edition/9781305652231/solutions" class="text-16px font-semibold leading-24px cursor-pointer no-underline text-grey-900 hover:no-underline" tabindex="0">College Algebra (MindTap Course List)</a><div class="flex items-center mt-8px text-grey-500 text-14px"><div class="w-12px h-12px bg-green50 rounded-[50%] flex items-center justify-center mr-8px"><div class="w-4px h-4px bg-green300 rounded-[50%]"></div></div>Algebra</div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">ISBN:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">9781305652231</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Author:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">R. David Gustafson, Jeff Hughes</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Publisher:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">Cengage Learning</div></div></div></div></div><div class="min-w-[80%] mr-[40px] sm:min-w-[45%] md:min-w-[50%] mdl:min-w-[30%] md:m-0"><div class="flex"><img class="m-5px h-[146px] w-[113px] md:m-0 md:mr-16px" src="https://s3.amazonaws.com/compass-isbn-assets/textbook_empty_images/small_textbook_empty.svg" alt="Algebra & Trigonometry with Analytic Geometry" loading="lazy" decoding="async"/><div class="w-[70%] mdl:w-[56%]"><a href="/textbooks/algebra-and-trigonometry-with-analytic-geometry-13th-edition/9781133382119/solutions" class="text-16px font-semibold leading-24px cursor-pointer no-underline text-grey-900 hover:no-underline" tabindex="0">Algebra & Trigonometry with Analytic Geometry</a><div class="flex items-center mt-8px text-grey-500 text-14px"><div class="w-12px h-12px bg-green50 rounded-[50%] flex items-center justify-center mr-8px"><div class="w-4px h-4px bg-green300 rounded-[50%]"></div></div>Algebra</div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">ISBN:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">9781133382119</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Author:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">Swokowski</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Publisher:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">Cengage</div></div></div></div></div><div class="min-w-[80%] mr-[40px] sm:min-w-[45%] md:min-w-[50%] mdl:min-w-[30%] md:m-0"><div class="flex"><img class="m-5px h-[146px] w-[113px] md:m-0 md:mr-16px" src="https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif" alt="College Algebra" loading="lazy" decoding="async"/><div class="w-[70%] mdl:w-[56%]"><a href="/textbooks/college-algebra-1st-edition/9781938168383/solutions" class="text-16px font-semibold leading-24px cursor-pointer no-underline text-grey-900 hover:no-underline" tabindex="0">College Algebra</a><div class="flex items-center mt-8px text-grey-500 text-14px"><div class="w-12px h-12px bg-green50 rounded-[50%] flex items-center justify-center mr-8px"><div class="w-4px h-4px bg-green300 rounded-[50%]"></div></div>Algebra</div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">ISBN:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">9781938168383</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Author:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">Jay Abramson</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Publisher:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">OpenStax</div></div></div></div></div><div class="min-w-[80%] mr-[40px] sm:min-w-[45%] md:min-w-[50%] mdl:min-w-[30%] md:m-0"><div class="flex"><img class="m-5px h-[146px] w-[113px] md:m-0 md:mr-16px" src="https://www.bartleby.com/isbn_cover_images/9781337111348/9781337111348_smallCoverImage.gif" alt="Functions and Change: A Modeling Approach to Coll…" loading="lazy" decoding="async"/><div class="w-[70%] mdl:w-[56%]"><a href="/textbooks/functions-and-change-a-modeling-approach-to-college-algebra-mindtap-course-list-6th-edition/9781337111348/solutions" class="text-16px font-semibold leading-24px cursor-pointer no-underline text-grey-900 hover:no-underline" tabindex="0">Functions and Change: A Modeling Approach to Coll…</a><div class="flex items-center mt-8px text-grey-500 text-14px"><div class="w-12px h-12px bg-green50 rounded-[50%] flex items-center justify-center mr-8px"><div class="w-4px h-4px bg-green300 rounded-[50%]"></div></div>Algebra</div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">ISBN:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">9781337111348</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Author:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">Bruce Crauder, Benny Evans, Alan Noell</div></div><div class="flex items-center mt-8px"><div class="font-semibold mr-8px text-14px">Publisher:</div><div class="text-grey-500 text-14px overflow-hidden text-ellipsis whitespace-nowrap">Cengage Learning</div></div></div></div></div></div><div class="flex justify-center relative md:justify-end mt-[40px]"><a href="/search?scope=Textbooks&q=Calculus&subject=Calculus&page=1" tabindex="0"><div class="text-14px text-blue-400 font-semibold -tracking-[0.2px] hover:underline md:text-16px">SEE MORE TEXTBOOKS</div></a></div></div></div></div></div></div><section id="AppLayout-Footers-ID" class="flexCol"><footer id="Main-Footer-ID" class="flex flex-col bg-darkBlue900 text-white pb-[100px] max-sm:pb-[60px]"><div id="Footer-Top-Container-ID" class="flex flex-col flex-1 py-40px px-35px border-b-[1px] border-minsk border-solid sm:py-50px sm:px-80px md:flex-row"><div id="Footer-Col2-ID" class="flex flex-col flex-0 mr-64px sm:mr-96px"><a href="/" aria-label="bartleby logo" class="flex flex-col mb-32px" tabindex="0"><img src="/static/compass_v2/bartleby-logos/bartleby-logo-tm-tag-inverted.svg" alt="bartleby" width="120" height="37.71" loading="lazy" decoding="async" style="width:120px;min-width:120px;height:37.71px;min-height:37.71px"/></a><div class="flex flex-col flex-1 lg:hidden"><div class="flex flex-col max-w-[134px]"><div class="flex flex-row items-center flex-auto "><a href="https://www.facebook.com/bartlebysolve" target="_blank" aria-label="bartleby Facebook page (link opens in new tab)" class="mr-24px" tabindex="0"><img src="/static/compass_v2/third-party/footer-facebook-icon-white.svg" alt="Facebook" width="9" height="17" loading="lazy" decoding="async" style="width:9px;min-width:9px;height:17px;min-height:17px"/></a><a href="https://twitter.com/bartlebysolve" target="_blank" aria-label="bartleby Twitter page (link opens in new tab)" class="mr-24px" tabindex="0"><img src="/static/compass_v2/third-party/footer-twitter-icon-white.svg" alt="Twitter" width="12" height="15" loading="lazy" decoding="async" style="width:12px;min-width:12px;height:15px;min-height:15px"/></a><a href="https://www.instagram.com/bartlebysolve" target="_blank" aria-label="bartleby Instagram page (link opens in new tab)" class="mr-24px" tabindex="0"><img src="/static/compass_v2/third-party/footer-instagram-icon-white.svg" alt="Instagram" width="12" height="12" loading="lazy" decoding="async" style="width:12px;min-width:12px;height:12px;min-height:12px"/></a><a href="https://www.youtube.com/channel/UCixjpE0Hapap4x0hKg7Fmfw" target="_blank" aria-label="bartleby YouTube page (link opens in new tab)" class="mr-24px" tabindex="0"><img src="/static/compass_v2/third-party/footer-youtube-icon-white.svg" alt="YouTube" width="12" height="17" loading="lazy" decoding="async" style="width:12px;min-width:12px;height:17px;min-height:17px"/></a></div><div class="text-alto text-center text-14px tracking-1px mt-32px mb-24px">GET THE APP</div><a href="https://apps.apple.com/us/app/bartleby-homework-help/id1522219588" target="_blank" aria-label="bartleby IOS App" class="mb-24px" tabindex="0"><img src="/static/compass_v2/third-party/apple-store-badge.svg" alt="Download from App store" width="134" height="44" loading="lazy" decoding="async" style="width:134px;min-width:134px;height:44px;min-height:44px;aspect-ratio:3.0454545454545454"/></a><a href="https://play.google.com/store/apps/details?id=com.bartleby.learn" target="_blank" aria-label="bartleby Android App" class="mb-24px" tabindex="0"><img src="/static/compass_v2/third-party/google-play-badge-new.png" alt="Download from Google play store" width="134" height="40" loading="lazy" decoding="async" style="width:134px;min-width:134px;height:40px;min-height:40px;aspect-ratio:3.35"/></a></div></div></div><div id="Footer-Col3-ID" class="flex flex-col flex-0 mr-64px md:flex-0"><a href="/about" class="text-white text-14px tracking-0.58px leading-33px flex-grow-0 flex-shrink-0 flex-auto " tabindex="0">About</a><a href="https://bartlebysupport.zendesk.com/hc/en-us" target="_blank" class="text-white text-14px tracking-0.58px leading-33px flex-grow-0 flex-shrink-0 flex-auto " tabindex="0">FAQ</a><a href="/academic-integrity" target="_blank" class="text-white text-14px tracking-0.58px leading-33px flex-grow-0 flex-shrink-0 flex-auto " tabindex="0">Academic Integrity</a><a href="/sitemap" class="text-white text-14px tracking-0.58px leading-33px flex-grow-0 flex-shrink-0 flex-auto " tabindex="0">Sitemap</a><a href="/sitemap/docs" class="text-white text-14px tracking-0.58px leading-33px flex-grow-0 flex-shrink-0 flex-auto " tabindex="0">Document Sitemap</a></div><div id="Footer-Col4-ID" class="flex flex-col flex-0 mr-0 sm:mr-64px md:flex-0"><a href="/about/contact" target="_blank" class="text-white text-14px tracking-0.58px leading-33px flex-grow-0 flex-shrink-0 flex-auto " tabindex="0">Contact Bartleby</a><a href="/writing/about-us/contact" target="_blank" class="text-white text-14px tracking-0.58px leading-33px flex-grow-0 flex-shrink-0 flex-auto " tabindex="0">Contact Research (Essays)</a><a href="/high-school-textbooks" class="text-white text-14px tracking-0.58px leading-33px flex-grow-0 flex-shrink-0 flex-auto " tabindex="0">High School Textbooks</a><a href="/lit" class="text-white text-14px tracking-0.58px leading-33px flex-grow-0 flex-shrink-0 flex-auto " tabindex="0">Literature Guides</a><a href="/concepts" class="text-white text-14px tracking-0.58px leading-33px flex-grow-0 flex-shrink-0 flex-auto " tabindex="0">Concept Explainers by Subject</a><a href="/writing" class="text-white text-14px tracking-0.58px leading-33px flex-grow-0 flex-shrink-0 flex-auto " tabindex="0">Essay Help</a><a href="/mobile" class="text-white text-14px tracking-0.58px leading-33px flex-grow-0 flex-shrink-0 flex-auto " tabindex="0">Mobile App</a></div><div id="Footer-Col3-Apps-ID" class="flex-col flex-1 max-w-[134px] hidden lg:flex lg:ml-auto"><div class="flex flex-col max-w-[134px]"><div class="flex flex-row items-center flex-auto "><a href="https://www.facebook.com/bartlebysolve" target="_blank" aria-label="bartleby Facebook page (link opens in new tab)" class="mr-24px" tabindex="0"><img src="/static/compass_v2/third-party/footer-facebook-icon-white.svg" alt="Facebook" width="9" height="17" loading="lazy" decoding="async" style="width:9px;min-width:9px;height:17px;min-height:17px"/></a><a href="https://twitter.com/bartlebysolve" target="_blank" aria-label="bartleby Twitter page (link opens in new tab)" class="mr-24px" tabindex="0"><img src="/static/compass_v2/third-party/footer-twitter-icon-white.svg" alt="Twitter" width="12" height="15" loading="lazy" decoding="async" style="width:12px;min-width:12px;height:15px;min-height:15px"/></a><a href="https://www.instagram.com/bartlebysolve" target="_blank" aria-label="bartleby Instagram page (link opens in new tab)" class="mr-24px" tabindex="0"><img src="/static/compass_v2/third-party/footer-instagram-icon-white.svg" alt="Instagram" width="12" height="12" loading="lazy" decoding="async" style="width:12px;min-width:12px;height:12px;min-height:12px"/></a><a href="https://www.youtube.com/channel/UCixjpE0Hapap4x0hKg7Fmfw" target="_blank" aria-label="bartleby YouTube page (link opens in new tab)" class="mr-24px" tabindex="0"><img src="/static/compass_v2/third-party/footer-youtube-icon-white.svg" alt="YouTube" width="12" height="17" loading="lazy" decoding="async" style="width:12px;min-width:12px;height:17px;min-height:17px"/></a></div><div class="text-alto text-center text-14px tracking-1px mt-32px mb-24px">GET THE APP</div><a href="https://apps.apple.com/us/app/bartleby-homework-help/id1522219588" target="_blank" aria-label="bartleby IOS App" class="mb-24px" tabindex="0"><img src="/static/compass_v2/third-party/apple-store-badge.svg" alt="Download from App store" width="134" height="44" loading="lazy" decoding="async" style="width:134px;min-width:134px;height:44px;min-height:44px;aspect-ratio:3.0454545454545454"/></a><a href="https://play.google.com/store/apps/details?id=com.bartleby.learn" target="_blank" aria-label="bartleby Android App" class="mb-24px" tabindex="0"><img src="/static/compass_v2/third-party/google-play-badge-new.png" alt="Download from Google play store" width="134" height="40" loading="lazy" decoding="async" style="width:134px;min-width:134px;height:40px;min-height:40px;aspect-ratio:3.35"/></a></div></div></div><div id="Footer-Bottom-Container-ID" class="pt-40px pb-20px px-35px sm:pt-50px sm:px-80px"><div id="Footer-Middle-Container-ID" class="flex flex-1 grow flex-col xl:flex-row xl:items-center flex-wrap"><a href="/terms" class="text-white text-14px tracking-0.58px leading-33px flex-grow-0 flex-shrink-0 flex-auto" tabindex="0">Terms of Use</a><div class="text-14px text-white mx-8px hidden xl:block">|</div><a href="/privacy" class="text-white text-14px tracking-0.58px leading-33px flex-grow-0 flex-shrink-0 flex-auto" tabindex="0">Privacy</a><div class="text-14px text-white mx-8px hidden xl:block">|</div><a href="/privacy#caprivacy" class="text-white text-14px tracking-0.58px leading-33px flex-grow-0 flex-shrink-0 flex-auto" tabindex="0">Your CA Privacy Rights</a><div class="text-14px text-white mx-8px hidden xl:block">|</div><a href="/privacy#naprivacy" class="text-white text-14px tracking-0.58px leading-33px flex-grow-0 flex-shrink-0 flex-auto" tabindex="0">Your NV Privacy Rights</a><div class="text-14px text-white mx-8px hidden xl:block">|</div><a href="/cookie-policy" class="text-white text-14px tracking-0.58px leading-33px flex-grow-0 flex-shrink-0 flex-auto" tabindex="0">Cookie Policy</a><div class="text-14px text-white mx-8px hidden xl:block">|</div><a href="/privacy#adchoices" class="text-white text-14px tracking-0.58px leading-33px flex-grow-0 flex-shrink-0 flex-auto" tabindex="0">About Ads</a><div class="text-14px text-white mx-8px hidden xl:block">|</div><button id="ot-sdk-btn" class="ot-sdk-show-settings">Do Not Sell or Share My Personal Information</button><div class="text-14px text-white mx-8px hidden xl:block">|</div><a href="https://coursehero-privacy.my.onetrust.com/webform/265c1602-2645-42a0-9388-484739b10fd3/b77bbeb7-7a3b-4b6c-b2ed-21594afd4fdf" target="_blank" class="text-white text-14px tracking-0.58px leading-33px flex-grow-0 flex-shrink-0 flex-auto" tabindex="0">Manage My Data</a></div><div class="block min-[1440px]:flex min-[1440px]:justify-between min-[1440px]:items-center"><div class="text-lavenderGrey text-14px tracking-0.58px leading-33px flex-grow-0 flex-shrink-0 flex-auto mt-0px xl:mt-20px">Copyright, Community Guidelines, DSA & other Legal Resources: <a href="https://www.learneo.com/legal" target="_blank" class="text-white" tabindex="0">Learneo Legal Center</a></div><div id="Footer-Middle-Container-CopyRight" class="text-lavenderGrey flex items-center text-center text-10px tracking-1px leading-17px pt-30px">bartleby, a Learneo, Inc. business</div></div></div></footer></section></main></div></div><script id="__NEXT_DATA__" type="application/json">{"props":{"pageProps":{"storeSlicesData":{"uiState":{"scrollPosition":0},"pageState":{"renderTime":1732560464302},"commonPageData":{"appSettings":{"qna":{"questionLimitForEmailVerification":0},"isExitIntentModalEnabled":false,"showBenefitsForVisitorOnRegistation":true,"isReferAFriendEnabled":true,"useTutoringStandAloneNavigation":false,"showMaintenanceModal":false,"numberOfTbsPageViewsBeforeRegisterModal":3,"numberOfLitPageViewsBeforeRegisterModal":100,"tutorRegistrationSkuCookieTTLMinutes":43200,"tutorRegistrationSku":"bb_tut_60_min","showKnowledgeBoosterBlock":true,"shouldEnableLiveChat":true,"shouldEnableQnaIntercept":true,"shouldShowLiveChatFabForAllSubjects":true,"shouldAlwaysShowLiveChatButtonInQnaForm":true,"shouldShowPopularTextbooksOnHomepage":false,"shouldShowQnaArchiveOnHomepage":false,"shouldRedirectToHomeDashboardAfterPayment":true,"shouldShowNotesCTAonTBSAndQNA":false,"addPlaceholderConfiguration":{"shouldRenderHighschoolTextbookAdsPlaceholder":true,"shouldRenderHighschoolSolutionAdsPlaceholder":true,"shouldRenderTextbookSolutionPlaceholder":true,"shouldRenderTextbookAdsPlaceholder":true,"shouldRenderQnAPlaceholder":true},"numberOfTbsPageViewsAfterRegisteration":3,"shouldShowPaymentSliderOnHighSchoolTextbook":true,"shouldShowRegistrationSliderOnHighSchoolTextbook":true,"shouldAskForAiQnaResponse":true,"shouldShowMyStudyRoom":true,"millionsOfSolutionsAvailable":10,"pageBottomBanner":{"enabled":false,"copy":"\u003cp\u003e\u003cb\u003eNotice: Updates to our Service Terms and Privacy Policy\u003c/b\u003e\u003cbr/\u003eOn August 29, 2024, we'll update our \u003ca href='/terms'\u003eService Terms\u003c/a\u003e and \u003ca href='/privacy'\u003ePrivacy Policy\u003c/a\u003e. Learn more \u003ca href='https://www.bartleby.com/archive/tos-summary.pdf'\u003ehere\u003c/a\u003e.\u003c/p\u003e","id":"1"},"privacyPolicyAndTermsOfServicesBanner":{"enabled":true,"heading":"Update: We've updated our Terms and Privacy Policy","text":"To continue using the Services, you need to confirm that you agree to our \u003ca href='/terms' target='_blank'\u003eService Terms\u003c/a\u003e and have read our \u003ca href='/privacy' target='_blank'\u003ePrivacy Policy\u003c/a\u003e.","footerText":"If you have any questions, contact our \u003ca href='mailto:customercare@bartleby.com'\u003eCustomer Support Team\u003c/a\u003e."},"shouldShowPrivacyNotificationBox":false,"homepageFaq":[{"id":0,"question":"How do I pay for my subscription?","url":"https://bartlebysupport.zendesk.com/hc/en-us/articles/17969897988887-How-do-I-pay-for-my-subscription","description":"We currently accept Visa, MasterCard, American Express, Paypal, Discover and Diners Club."},{"id":1,"question":"Can I pause my subscription?","url":"https://bartlebysupport.zendesk.com/hc/en-us/articles/17970005304983-Can-I-pause-my-subscription","description":"Everyone needs a break. We get it! But pausing your subscription is better than cancelling it and here’s why: Kick back and relax. You..."},{"id":2,"question":"Can I have a refund?","url":"https://bartlebysupport.zendesk.com/hc/en-us/articles/17970026312471-Can-I-have-a-refund","description":"We do not offer refunds. However, if you cancel your subscription, you will not be billed again."},{"id":3,"question":"How do I change my plan?","url":"https://bartlebysupport.zendesk.com/hc/en-us/articles/17969959718295-How-do-I-change-my-plan","description":"If you want to update your plan, please get in touch with our support team at customercare@bartleby.com or use the ‘contact us’ form on..."},{"id":4,"question":"What is Expert Bartleby Q\u0026A?","url":"https://bartlebysupport.zendesk.com/hc/en-us/articles/17967460444823-What-is-Expert-Bartleby-Q-A","description":"Expert Q\u0026A helps enhance your understanding of concepts in over 30 STEM and Business subjects. Submit your toughest homework and..."},{"id":5,"question":"How can I ensure my questions get answered as quickly as possible?","url":"https://bartlebysupport.zendesk.com/hc/en-us/articles/17969103318167-How-can-I-ensure-my-questions-get-answered-as-quickly-as-possible","description":"To help ensure your questions get answered without delay or issues, follow the below tips: Submit only one question at a time under the..."},{"id":6,"question":"How do I search textbook solutions?","url":"https://bartlebysupport.zendesk.com/hc/en-us/articles/17968561720087-How-do-I-search-textbook-solutions","description":"It’s easy and you don’t even have to be logged in! Use the search box at the top of the page."},{"id":7,"question":"How can I access my shortlisted solutions?","url":"https://bartlebysupport.zendesk.com/hc/en-us/articles/17968510903575-How-can-I-access-my-shortlisted-solutions","description":"Once you log in, your dashboard page will show a list of solutions you shortlisted."}],"alaCartePurchaseQuestionModal":5,"percentageOfSampleQnAStepsToShow":50,"shouldShowNewBundleLearnRegistration":false,"aiFeedbackModalTimer":15,"shouldShowDocumentFooterLink":true,"documentsPerPage":25,"showDocumentUploadBanner":true,"uploadsLiteSignupModalSettings":{"triggerTimerInSec":30}},"userAccessFromServer":{"logoImageUrl":"/static/logo.svg","products":[{"id":"learn","name":"bartleby learn","scope":"bartleby.learn","loggedInUrl":"/dashboard","loggedOutUrl":"/","logoImageUrl":"/static/bartleby-learn-logo.svg","planId":"047b8ffc-82f2-11ea-8bb2-02de5cfdf1e9","planCode":"qna_trial","category":"Learn","subProducts":[{"id":"learnQaas","name":"My Questions","defaultUrl":"/dashboard/my-questions","displayInNavigation":false,"access":"fullAccess"},{"id":"learnQnaLib","name":"","defaultUrl":"","displayInNavigation":false,"access":"gatedAccess"},{"id":"learnTbsLib","name":"My Solutions","defaultUrl":"/dashboard/my-favorites","displayInNavigation":false,"access":"gatedAccess"},{"id":"learnMathSolver","name":"My Math","defaultUrl":"/dashboard/my-math-solver","displayInNavigation":false,"access":"noAccess"},{"id":"liveChat","name":"My Chats","defaultUrl":"/dashboard/my-chats","displayInNavigation":false,"access":"noAccess"},{"id":"documents","name":"My Documents","defaultUrl":"/sitemap/docs","displayInNavigation":false,"access":"gatedAccess"},{"id":"uploads","name":"My Uploads","defaultUrl":"/dashboard/docs/uploads","displayInNavigation":false,"access":"noAccess"}]},{"id":"write","name":"bartleby write","scope":"bartleby.write","loggedInUrl":"/write/dashboard","loggedOutUrl":"/write/","logoImageUrl":"/static/bartleby-write-logo.svg","planId":"047b8ffc-82f2-11ea-8bb2-02de5cfdf1e9","planCode":"qna_trial","category":"Learn","subProducts":[]},{"id":"tutor","name":"bartleby tutor","scope":"bartleby.tutor","loggedInUrl":"/dashboard/my-tutoring","loggedOutUrl":"/tutor","logoImageUrl":"/static/bartleby-tutor-logo.svg","planId":"047b8ffc-82f2-11ea-8bb2-02de5cfdf1e9","planCode":"qna_trial","category":"Learn","subProducts":[{"id":"learnTutoring","name":"My Tutoring","defaultUrl":"/dashboard/my-tutoring","displayInNavigation":false,"access":"gatedAccess"}]}]},"subjects":[{"name":"Business","shortName":"business","href":"/subject/business","smallImage":"https://bartleby.com/static/subject_images/business/business.svg","parentShortName":null,"hasTbs":true,"hasQna":true,"children":[{"name":"Accounting","shortName":"accounting","href":"/subject/business/accounting","smallImage":"https://bartleby.com/static/subject_images/business/accounting.svg","parentShortName":"business","hasTbs":true,"hasQna":true,"children":[]},{"name":"Business Law","shortName":"business-law","href":"/subject/business/business-law","smallImage":"https://bartleby.com/static/subject_images/business/business-law.svg","parentShortName":"business","hasTbs":true,"hasQna":true,"children":[]},{"name":"Economics","shortName":"economics","href":"/subject/business/economics","smallImage":"https://bartleby.com/static/subject_images/business/economics.svg","parentShortName":"business","hasTbs":true,"hasQna":true,"children":[]},{"name":"Finance","shortName":"finance","href":"/subject/business/finance","smallImage":"https://bartleby.com/static/subject_images/business/finance.svg","parentShortName":"business","hasTbs":true,"hasQna":true,"children":[]},{"name":"Leadership","shortName":"leadership","href":"/subject/business/leadership","smallImage":"https://bartleby.com/static/subject_images/business/leaderhsip.svg","parentShortName":"business","hasTbs":true,"hasQna":false,"children":[]},{"name":"Management","shortName":"management","href":"/subject/business/management","smallImage":"https://bartleby.com/static/subject_images/business/management.svg","parentShortName":"business","hasTbs":true,"hasQna":true,"children":[]},{"name":"Marketing","shortName":"marketing","href":"/subject/business/marketing","smallImage":"https://bartleby.com/static/subject_images/business/marketing.svg","parentShortName":"business","hasTbs":true,"hasQna":true,"children":[]},{"name":"Operations Management","shortName":"operations-management","href":"/subject/business/operations-management","smallImage":"https://bartleby.com/static/subject_images/business/operations-management.svg","parentShortName":"business","hasTbs":true,"hasQna":true,"children":[]}]},{"name":"Engineering","shortName":"engineering","href":"/subject/engineering","smallImage":"https://bartleby.com/static/subject_images/engineering/computer-science.svg","parentShortName":null,"hasTbs":true,"hasQna":true,"children":[{"name":"AI and Machine Learning","shortName":"ai-and-machine-learning","href":"/subject/engineering/ai-and-machine-learning","smallImage":"https://bartleby.com/static/subject_images/engineering/ai-and-machine-learning.svg","parentShortName":"engineering","hasTbs":true,"hasQna":true,"children":[]},{"name":"Bioengineering","shortName":"bioengineering","href":"/subject/engineering/bioengineering","smallImage":"https://bartleby.com/static/subject_images/engineering/bioengineering.png","parentShortName":"engineering","hasTbs":true,"hasQna":false,"children":[]},{"name":"Chemical Engineering","shortName":"chemical-engineering","href":"/subject/engineering/chemical-engineering","smallImage":"https://bartleby.com/static/subject_images/engineering/chemical-engineering.png","parentShortName":"engineering","hasTbs":true,"hasQna":true,"children":[]},{"name":"Civil Engineering","shortName":"civil-engineering","href":"/subject/engineering/civil-engineering","smallImage":"https://bartleby.com/static/subject_images/engineering/civil-engineering.png","parentShortName":"engineering","hasTbs":true,"hasQna":true,"children":[]},{"name":"Computer Engineering","shortName":"computer-engineering","href":"/subject/engineering/computer-engineering","smallImage":"https://bartleby.com/static/subject_images/engineering/computer-engineering.svg","parentShortName":"engineering","hasTbs":true,"hasQna":true,"children":[]},{"name":"Computer Science","shortName":"computer-science","href":"/subject/engineering/computer-science","smallImage":"https://bartleby.com/static/subject_images/engineering/computer-science.svg","parentShortName":"engineering","hasTbs":true,"hasQna":true,"children":[]},{"name":"Cybersecurity","shortName":"cybersecurity","href":"/subject/engineering/cybersecurity","smallImage":"https://bartleby.com/static/subject_images/engineering/cybersecurity.svg","parentShortName":"engineering","hasTbs":true,"hasQna":true,"children":[]},{"name":"Data Structures and Algorithms","shortName":"data-structures-and-algorithms","href":"/subject/engineering/data-structures-and-algorithms","smallImage":"https://bartleby.com/static/subject_images/engineering/data-structures-and-algorithms.svg","parentShortName":"engineering","hasTbs":true,"hasQna":true,"children":[]},{"name":"Electrical Engineering","shortName":"electrical-engineering","href":"/subject/engineering/electrical-engineering","smallImage":"https://bartleby.com/static/subject_images/engineering/electrical-engineering.svg","parentShortName":"engineering","hasTbs":true,"hasQna":true,"children":[]},{"name":"Mechanical Engineering","shortName":"mechanical-engineering","href":"/subject/engineering/mechanical-engineering","smallImage":"https://bartleby.com/static/subject_images/engineering/mechanical-engineering.png","parentShortName":"engineering","hasTbs":true,"hasQna":true,"children":[]}]},{"name":"Language","shortName":"language","href":"/subject/language","smallImage":"https://bartleby.com/static/subject_images/language/language.svg","parentShortName":null,"hasTbs":true,"hasQna":true,"children":[{"name":"Spanish","shortName":"spanish","href":"/subject/language/spanish","smallImage":"https://bartleby.com/static/subject_images/language/spanish.svg","parentShortName":"language","hasTbs":true,"hasQna":false,"children":[]}]},{"name":"Math","shortName":"math","href":"/subject/math","smallImage":"https://bartleby.com/static/subject_images/math/math.svg","parentShortName":null,"hasTbs":true,"hasQna":true,"children":[{"name":"Advanced Math","shortName":"advanced-math","href":"/subject/math/advanced-math","smallImage":"https://bartleby.com/static/subject_images/math/advanced-math.svg","parentShortName":"math","hasTbs":true,"hasQna":true,"children":[]},{"name":"Algebra","shortName":"algebra","href":"/subject/math/algebra","smallImage":"https://bartleby.com/static/subject_images/math/algebra.svg","parentShortName":"math","hasTbs":true,"hasQna":true,"children":[]},{"name":"Calculus","shortName":"calculus","href":"/subject/math/calculus","smallImage":"https://bartleby.com/static/subject_images/math/calculus.svg","parentShortName":"math","hasTbs":true,"hasQna":true,"children":[]},{"name":"Geometry","shortName":"geometry","href":"/subject/math/geometry","smallImage":"https://bartleby.com/static/subject_images/math/geometry.svg","parentShortName":"math","hasTbs":true,"hasQna":true,"children":[]},{"name":"Probability","shortName":"probability","href":"/subject/math/probability","smallImage":"https://bartleby.com/static/subject_images/math/probability.svg","parentShortName":"math","hasTbs":true,"hasQna":true,"children":[]},{"name":"Statistics","shortName":"statistics","href":"/subject/math/statistics","smallImage":"https://bartleby.com/static/subject_images/math/statistics.svg","parentShortName":"math","hasTbs":true,"hasQna":true,"children":[]},{"name":"Trigonometry","shortName":"trigonometry","href":"/subject/math/trigonometry","smallImage":"https://bartleby.com/static/subject_images/math/trigonometry.svg","parentShortName":"math","hasTbs":true,"hasQna":true,"children":[]}]},{"name":"Science","shortName":"science","href":"/subject/science","smallImage":"https://bartleby.com/static/subject_images/science/science.svg","parentShortName":null,"hasTbs":true,"hasQna":true,"children":[{"name":"Advanced Physics","shortName":"advanced-physics","href":"/subject/science/advanced-physics","smallImage":"https://bartleby.com/static/subject_images/science/advanced-physics.svg","parentShortName":"science","hasTbs":true,"hasQna":true,"children":[]},{"name":"Anatomy and Physiology","shortName":"anatomy-and-physiology","href":"/subject/science/anatomy-and-physiology","smallImage":"https://bartleby.com/static/subject_images/science/anatomy-and-physiology.svg","parentShortName":"science","hasTbs":true,"hasQna":true,"children":[]},{"name":"Biochemistry","shortName":"biochemistry","href":"/subject/science/biochemistry","smallImage":"https://bartleby.com/static/subject_images/science/bio-chemistry.svg","parentShortName":"science","hasTbs":true,"hasQna":true,"children":[]},{"name":"Biology","shortName":"biology","href":"/subject/science/biology","smallImage":"https://bartleby.com/static/subject_images/science/biology.svg","parentShortName":"science","hasTbs":true,"hasQna":true,"children":[]},{"name":"Chemistry","shortName":"chemistry","href":"/subject/science/chemistry","smallImage":"https://bartleby.com/static/subject_images/science/chemistry.svg","parentShortName":"science","hasTbs":true,"hasQna":true,"children":[]},{"name":"Earth Science","shortName":"earth-science","href":"/subject/science/earth-science","smallImage":"https://bartleby.com/static/subject_images/science/earth-science.svg","parentShortName":"science","hasTbs":true,"hasQna":true,"children":[]},{"name":"Health \u0026 Nutrition","shortName":"health-nutrition","href":"/subject/science/health-nutrition","smallImage":"https://bartleby.com/static/subject_images/science/health-nutrition.svg","parentShortName":"science","hasTbs":true,"hasQna":false,"children":[]},{"name":"Health Science","shortName":"health-science","href":"/subject/science/health-science","smallImage":"https://bartleby.com/static/subject_images/science/health-science.svg","parentShortName":"science","hasTbs":true,"hasQna":true,"children":[]},{"name":"Nursing","shortName":"nursing","href":"/subject/science/nursing","smallImage":"https://bartleby.com/static/subject_images/science/nursing.svg","parentShortName":"science","hasTbs":true,"hasQna":true,"children":[]},{"name":"Physics","shortName":"physics","href":"/subject/science/physics","smallImage":"https://bartleby.com/static/subject_images/science/physics.svg","parentShortName":"science","hasTbs":true,"hasQna":true,"children":[]}]},{"name":"Social Science","shortName":"social-science","href":"/subject/social-science","smallImage":"https://bartleby.com/static/subject_images/social-science/social-science.svg","parentShortName":null,"hasTbs":true,"hasQna":true,"children":[{"name":"Anthropology","shortName":"anthropology","href":"/subject/social-science/anthropology","smallImage":"https://bartleby.com/static/subject_images/social-science/anthropology.svg","parentShortName":"social-science","hasTbs":true,"hasQna":false,"children":[]},{"name":"Geography","shortName":"geography","href":"/subject/social-science/geography","smallImage":"https://bartleby.com/static/subject_images/social-science/geography.svg","parentShortName":"social-science","hasTbs":false,"hasQna":false,"children":[]},{"name":"History","shortName":"history","href":"/subject/social-science/history","smallImage":"https://bartleby.com/static/subject_images/social-science/history.svg","parentShortName":"social-science","hasTbs":true,"hasQna":true,"children":[]},{"name":"Political Science","shortName":"political-science","href":"/subject/social-science/political-science","smallImage":"https://bartleby.com/static/subject_images/social-science/political-science.svg","parentShortName":"social-science","hasTbs":false,"hasQna":false,"children":[]},{"name":"Psychology","shortName":"psychology","href":"/subject/social-science/psychology","smallImage":"https://bartleby.com/static/subject_images/social-science/psychology.svg","parentShortName":"social-science","hasTbs":true,"hasQna":true,"children":[]},{"name":"Sociology","shortName":"sociology","href":"/subject/social-science/sociology","smallImage":"https://bartleby.com/static/subject_images/social-science/sociology.svg","parentShortName":"social-science","hasTbs":true,"hasQna":true,"children":[]}]}],"qnaSubjects":[{"title":"Business","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/business/business.svg","newSubject":false,"shortName":"business","advertiseAsNew":false,"children":[{"title":"Accounting","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/business/accounting.svg","newSubject":false,"shortName":"accounting","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Business Law","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/business/business-law.svg","newSubject":false,"shortName":"business-law","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Economics","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/business/economics.svg","newSubject":false,"shortName":"economics","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Finance","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/business/finance.svg","newSubject":false,"shortName":"finance","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Management","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/business/management.svg","newSubject":false,"shortName":"management","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Marketing","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/business/marketing.svg","newSubject":false,"shortName":"marketing","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Operations Management","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/business/operations-management.svg","newSubject":false,"shortName":"operations-management","advertiseAsNew":false,"freemiumAccessAllowed":true}]},{"title":"Engineering","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/engineering/computer-science.svg","newSubject":false,"shortName":"engineering","advertiseAsNew":false,"children":[{"title":"AI and Machine Learning","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/engineering/ai-and-machine-learning.svg","newSubject":false,"shortName":"ai-and-machine-learning","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Chemical Engineering","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/engineering/chemical-engineering.png","newSubject":false,"shortName":"chemical-engineering","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Civil Engineering","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/engineering/civil-engineering.png","newSubject":false,"shortName":"civil-engineering","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Computer Engineering","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/engineering/computer-engineering.svg","newSubject":false,"shortName":"computer-engineering","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Computer Science","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/engineering/computer-science.svg","newSubject":false,"shortName":"computer-science","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Cybersecurity","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/engineering/cybersecurity.svg","newSubject":false,"shortName":"cybersecurity","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Data Structures and Algorithms","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/engineering/data-structures-and-algorithms.svg","newSubject":false,"shortName":"data-structures-and-algorithms","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Electrical Engineering","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/engineering/electrical-engineering.svg","newSubject":false,"shortName":"electrical-engineering","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Mechanical Engineering","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/engineering/mechanical-engineering.png","newSubject":false,"shortName":"mechanical-engineering","advertiseAsNew":false,"freemiumAccessAllowed":true}]},{"title":"Math","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/math/math.svg","newSubject":false,"shortName":"math","advertiseAsNew":false,"children":[{"title":"Algebra","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/math/algebra.svg","newSubject":false,"shortName":"algebra","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Calculus","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/math/calculus.svg","newSubject":false,"shortName":"calculus","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Geometry","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/math/geometry.svg","newSubject":false,"shortName":"geometry","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Probability","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/math/probability.svg","newSubject":false,"shortName":"probability","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Statistics","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/math/statistics.svg","newSubject":false,"shortName":"statistics","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Trigonometry","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/math/trigonometry.svg","newSubject":false,"shortName":"trigonometry","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Advanced Math","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/math/advanced-math.svg","newSubject":false,"shortName":"advanced-math","advertiseAsNew":false,"freemiumAccessAllowed":true}]},{"title":"Science","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/science/science.svg","newSubject":false,"shortName":"science","advertiseAsNew":false,"children":[{"title":"Anatomy and Physiology","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/science/anatomy-and-physiology.svg","newSubject":false,"shortName":"anatomy-and-physiology","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Earth Science","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/science/earth-science.svg","newSubject":false,"shortName":"earth-science","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Health Science","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/science/health-science.svg","newSubject":false,"shortName":"health-science","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Nursing","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/science/nursing.svg","newSubject":false,"shortName":"nursing","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Biology","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/science/biology.svg","newSubject":false,"shortName":"biology","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Chemistry","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/science/chemistry.svg","newSubject":false,"shortName":"chemistry","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Physics","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/science/physics.svg","newSubject":false,"shortName":"physics","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Biochemistry","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/science/bio-chemistry.svg","newSubject":false,"shortName":"biochemistry","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Advanced Physics","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/science/advanced-physics.svg","newSubject":false,"shortName":"advanced-physics","advertiseAsNew":false,"freemiumAccessAllowed":true}]},{"title":"Social Science","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/social-science/social-science.svg","newSubject":false,"shortName":"social-science","advertiseAsNew":false,"children":[{"title":"History","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/social-science/history.svg","newSubject":false,"shortName":"history","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Psychology","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/social-science/psychology.svg","newSubject":false,"shortName":"psychology","advertiseAsNew":false,"freemiumAccessAllowed":true},{"title":"Sociology","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/social-science/sociology.svg","newSubject":false,"shortName":"sociology","advertiseAsNew":false,"freemiumAccessAllowed":true}]}],"banners":[{"id":"8ff62751-50db-11eb-8bb2-02de5cfdf1e9","name":"4.99 1st wk trial","copy":"Homework Help is Here – Start Your Trial Now!","type":"promo","persistence":"dismissibleForTheEntireSession","anchorUrl":"/account/registration","anchorArrow":true,"computed":{"anchorHref":"/account/registration"}}]},"commonPageProps":{"ltiSettings":{"ltiConsumerKeyInUrl":"","urlPrefix":""},"cookieNames":{"ltiConsumerKey":"ltiConsumerKey","accessToken":"accessToken","refreshToken":"refreshToken","bartlebyRefreshToken":"bartlebyRefreshToken","bartlebyRefreshTokenExpiresAt":"bartlebyRefreshTokenExpiresAt","bartlebyIdentityToken":"bartlebyIdentityToken","userId":"userId","userStatus":"userStatus","promotionId":"promotionId","sku":"sku","isNoQuestionAskedModalClosed":"isNoQuestionAskedModalClosed","isAskedQuestionModalOpen":"isAskedQuestionModalOpen","DismissedBanners":"DismissedBanners","qnaAwarenessModalForI3UsersWasClosed":"qnaAwarenessModalForI3UsersWasClosed","endCycleWhenQuestionsRemainingWasClosed":"endCycleWhenQuestionsRemainingWasClosed","btbLiveChatFabTriggerDate":"btbLiveChatFabTriggerDate","btbHomeDashboardAnimationTriggerDate":"btbHomeDashboardAnimationTriggerDate","btbHomeDashboardTooltipAnimationCount":"btbHomeDashboardTooltipAnimationCount","btbHomeDashboardBonusChallengeModalCount":"btbHomeDashboardBonusChallengeModalCount","btbHomeDashboardBonusChallengeTaskCompletionCount":"btbHomeDashboardBonusChallengeTaskCompletionCount","majors":"majors","btbOpenRegistrationModal":"btbOpenRegistrationModal","viewedPagesCount":"viewedPagesCount","QuesionCountOnAIResponsePage":"QuesionCountOnAIResponsePage","UiAction":"UiAction"},"pageContextParsed":{"protocol":"http,http","origin":"https://www.bartleby.com","hostname":"www.bartleby.com","href":"https://www.bartleby.com/questions-and-answers/find-all-first-and-second-order-partial-derivatives-of-the-given-function.-fxy-xcosy-sinx-for-the-to/aac6577f-de09-48a0-b49f-a7318fd82e4a","pathname":"/questions-and-answers/find-all-first-and-second-order-partial-derivatives-of-the-given-function.-fxy-xcosy-sinx-for-the-to/aac6577f-de09-48a0-b49f-a7318fd82e4a","pathnameWithSearch":"/questions-and-answers/find-all-first-and-second-order-partial-derivatives-of-the-given-function.-fxy-xcosy-sinx-for-the-to/aac6577f-de09-48a0-b49f-a7318fd82e4a","search":"","query":{"id":["find-all-first-and-second-order-partial-derivatives-of-the-given-function.-fxy-xcosy-sinx-for-the-to","aac6577f-de09-48a0-b49f-a7318fd82e4a"]}},"pageTitle":"Answered: Find all first and second order partial…","pageDescription":"Solution for Find all first and second order partial derivatives of the given function. f(x,y) =xcos(y) sin(x) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10…","isPageSeoIndexable":true,"shouldSetCacheHeaderToPublic":true,"canonicalUrl":"https://www.bartleby.com/questions-and-answers/find-all-first-and-second-order-partial-derivatives-of-the-given-function.-fxy-xcosy-sinx-for-the-to/aac6577f-de09-48a0-b49f-a7318fd82e4a","appProps":{},"appLayoutProps":{}},"user":null},"globalNavBarProps":{"bartlebyLogoLink":{"id":"Header-Bartleby-Logo-ID","linkProps":{"href":"/","isExternal":true},"imageProps":{"src":"/static/compass_v2/bartleby-logos/bartleby-logo-tm.svg","alt":"bartleby","width":134.97,"height":38.56,"loading":"lazy","decoding":"async"},"ariaAttributes":{"aria-label":"bartleby logo"}},"learnLinkProps":{"id":"GlobalNav-Learn-Link-ID","linkProps":{"href":"/learn","isExternal":true},"text":"learn"},"writeLinkProps":{"links":[{"text":"Essays","linkProps":{"href":"/essay","isExternal":true,"linkAttributes":{}}},{"text":"Topics","linkProps":{"href":"/topics","isExternal":true,"linkAttributes":{}}},{"text":"Writing Tool","linkProps":{"href":"/write","isExternal":true,"linkAttributes":{}}}]},"plusLinkProps":{"id":"GlobalNav-Plus-Link-ID","linkProps":{"href":"/plus","isExternal":true},"text":"plus"},"studyResources":{"links":[{"text":"Subjects","linkProps":{"href":"/subjects","isExternal":true,"linkAttributes":{}}},{"text":"Literature guides","linkProps":{"href":"/lit","isExternal":true,"linkAttributes":{}}},{"text":"Concept explainers","linkProps":{"href":"/concepts","isExternal":true,"linkAttributes":{}}},{"text":"Writing guides","linkProps":{"href":"/writing-guide","isExternal":true,"linkAttributes":{}}},{"text":"Popular textbooks","linkProps":{"href":"/textbooks","isExternal":true,"linkAttributes":{}}},{"text":"Popular high school textbooks","linkProps":{"href":"/high-school-textbooks","isExternal":true,"linkAttributes":{}}},{"text":"Popular Q\u0026A","linkProps":{"href":"/questions-and-answers","isExternal":true,"linkAttributes":{}}},{"text":"Documents","linkProps":{"href":"/sitemap/docs","isExternal":true,"linkAttributes":{}}}],"isOpen":false}},"learnNavBarProps":{"shouldShowSearch":true,"shouldShowAskQuestion":true,"shouldShowChat":false,"shouldShowMathSolver":false},"mainFooterProps":{"id":"Main-Footer-ID","topContainer":{"bartlebyLogoLink":{"id":"Footer-Bartleby-Logo-ID","linkProps":{"href":"/","isExternal":true},"imageProps":{"src":"/static/compass_v2/bartleby-logos/bartleby-logo-tm-tag-inverted.svg","alt":"bartleby","width":120,"height":37.71,"loading":"lazy","decoding":"async"},"ariaAttributes":{"aria-label":"bartleby logo"}},"topLinksFirstColumn":[{"id":"Footer-About-Link-ID","linkProps":{"href":"/about","isExternal":true},"text":"About"},{"id":"Footer-Zendesk-Link-ID","linkProps":{"href":"https://bartlebysupport.zendesk.com/hc/en-us","isExternal":true,"target":"_blank"},"text":"FAQ"},{"id":"Footer-Academic-Integrity-Link-ID","linkProps":{"href":"/academic-integrity","isExternal":true,"target":"_blank"},"text":"Academic Integrity"},{"id":"Footer-Sitemap-Link-ID","linkProps":{"href":"/sitemap","isExternal":true},"text":"Sitemap"},{"id":"Footer-DocumentSiteMap-Link-ID","linkProps":{"href":"/sitemap/docs","isExternal":true},"text":"Document Sitemap"}],"topLinksSecondColumn":[{"id":"Footer-Contact-Bartleby-Link-ID","linkProps":{"href":"/about/contact","isExternal":true,"target":"_blank"},"text":"Contact Bartleby"},{"id":"Footer-Contact-Research-Essays-Link-ID","linkProps":{"href":"/writing/about-us/contact","isExternal":true,"target":"_blank"},"text":"Contact Research (Essays)"},{"id":"Footer-High-School-Textbooks-Link-ID","linkProps":{"href":"/high-school-textbooks","isExternal":true},"text":"High School Textbooks"},{"id":"Footer-Literature-Guides-Link-ID","linkProps":{"href":"/lit","isExternal":true},"text":"Literature Guides"},{"id":"Footer-Concept-Explainers-Link-ID","linkProps":{"href":"/concepts","isExternal":true},"text":"Concept Explainers by Subject"},{"id":"Footer-Essay Help-Link-ID","linkProps":{"href":"/writing","isExternal":true},"text":"Essay Help"},{"id":"Footer-Mobile App-Link-ID","linkProps":{"href":"/mobile","isExternal":true},"text":"Mobile App"}],"topLinksSocialAndMobileApp":{"getTheAppText":"GET THE APP","socialLinks":[{"id":"Footer-Facebook-Logo-ID","linkProps":{"href":"https://www.facebook.com/bartlebysolve","isExternal":true,"target":"_blank"},"imageProps":{"src":"/static/compass_v2/third-party/footer-facebook-icon-white.svg","alt":"Facebook","width":9,"height":17,"loading":"lazy","decoding":"async"},"ariaAttributes":{"aria-label":"bartleby Facebook page (link opens in new tab)"}},{"id":"Footer-Twitter-Logo-ID","linkProps":{"href":"https://twitter.com/bartlebysolve","isExternal":true,"target":"_blank"},"imageProps":{"src":"/static/compass_v2/third-party/footer-twitter-icon-white.svg","alt":"Twitter","width":12,"height":15,"loading":"lazy","decoding":"async"},"ariaAttributes":{"aria-label":"bartleby Twitter page (link opens in new tab)"}},{"id":"Footer-Instagram-Logo-ID","linkProps":{"href":"https://www.instagram.com/bartlebysolve","isExternal":true,"target":"_blank"},"imageProps":{"src":"/static/compass_v2/third-party/footer-instagram-icon-white.svg","alt":"Instagram","width":12,"height":12,"loading":"lazy","decoding":"async"},"ariaAttributes":{"aria-label":"bartleby Instagram page (link opens in new tab)"}},{"id":"Footer-YouTube-Logo-ID","linkProps":{"href":"https://www.youtube.com/channel/UCixjpE0Hapap4x0hKg7Fmfw","isExternal":true,"target":"_blank"},"imageProps":{"src":"/static/compass_v2/third-party/footer-youtube-icon-white.svg","alt":"YouTube","width":12,"height":17,"loading":"lazy","decoding":"async"},"ariaAttributes":{"aria-label":"bartleby YouTube page (link opens in new tab)"}}],"appStoreLinks":[{"id":"Footer-Bartleby-IOS-App-Logo-ID","linkProps":{"href":"https://apps.apple.com/us/app/bartleby-homework-help/id1522219588","isExternal":true,"target":"_blank"},"imageProps":{"src":"/static/compass_v2/third-party/apple-store-badge.svg","alt":"Download from App store","width":134,"height":44,"loading":"lazy","decoding":"async"},"ariaAttributes":{"aria-label":"bartleby IOS App"}},{"id":"Footer-Bartleby-Android-App-Logo-ID","linkProps":{"href":"https://play.google.com/store/apps/details?id=com.bartleby.learn","isExternal":true,"target":"_blank"},"imageProps":{"src":"/static/compass_v2/third-party/google-play-badge-new.png","alt":"Download from Google play store","width":134,"height":40,"loading":"lazy","decoding":"async"},"ariaAttributes":{"aria-label":"bartleby Android App"}}]}},"bottomContainer":{"bottomContainerLinks":[{"id":"Footer-Terms-of-Use-Link-ID","linkProps":{"href":"/terms","isExternal":true},"text":"Terms of Use"},{"id":"Footer-Privacy-Link-ID","linkProps":{"href":"/privacy","isExternal":true},"text":"Privacy"},{"id":"Footer-Your-CA-Privacy-Rights-Link-ID","linkProps":{"href":"/privacy#caprivacy","isExternal":true},"text":"Your CA Privacy Rights"},{"id":"Footer-Your-NV-Privacy-Rights-Link-ID","linkProps":{"href":"/privacy#naprivacy","isExternal":true},"text":"Your NV Privacy Rights"},{"id":"Footer-Cookie-Policy-Link-ID","linkProps":{"href":"/cookie-policy","isExternal":true},"text":"Cookie Policy"},{"id":"Footer-About-Ads-Link-ID","linkProps":{"href":"/privacy#adchoices","isExternal":true},"text":"About Ads"},{"id":"Footer-Manage-My-Data-Link-ID","linkProps":{"href":"https://coursehero-privacy.my.onetrust.com/webform/265c1602-2645-42a0-9388-484739b10fd3/b77bbeb7-7a3b-4b6c-b2ed-21594afd4fdf","isExternal":true,"target":"_blank"},"text":"Manage My Data"}],"learneoLegalContainerLinks":[{"id":"Learneo-Legal-Container-ID","linkProps":{"href":"https://www.learneo.com/legal","isExternal":true,"target":"_blank"},"text":"Learneo Legal Center"}],"copyRightText":"bartleby, a Learneo, Inc. business","learneoCopy":"Copyright, Community Guidelines, DSA \u0026 other Legal Resources: "}},"qna":{"question":{"url":"/questions-and-answers/find-all-first-and-second-order-partial-derivatives-of-the-given-function.-fxy-xcosy-sinx-for-the-to/aac6577f-de09-48a0-b49f-a7318fd82e4a","id":"aac6577f-de09-48a0-b49f-a7318fd82e4a","text":null,"status":"Answered","images":[{"id":"72eb9f89-cd8a-43ba-96cc-dc45e9ac727a","ocr":"Find all first and second order partial derivatives of the given function.\nf(x,y) =xcos(y)\nsin(x)\nFor the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).\nBIUS\n=\nP\n+\nParagraph\nOpen Sans,ari...\n10pt\n\u003e11\u003c\nABC\n-\nく ✓\nQUESTION 5\n+ y2\nf(x,y) = x²+2x-3y +xy +\nFind the equation of the tangent plane to the surface at (2,1).\nx +\n]y-z=[\n99 Ω\n!!!\n\u003e\n\u003e\n\u003c|\n\u003e\nA\n\u003c\n\u003c\nIx\nA\n88\nQUESTION 6\nf(x,y) = x²- xy + y2\nUse a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places.\nE","smallImageUrl":"https://content.bartleby.com/qna-images/question/945ae690-9b29-4664-b591-03f86d69ed48/aac6577f-de09-48a0-b49f-a7318fd82e4a/dc6826_thumbnail.png","imageUrl":"https://content.bartleby.com/qna-images/question/945ae690-9b29-4664-b591-03f86d69ed48/aac6577f-de09-48a0-b49f-a7318fd82e4a/dc6826_processed.png","width":801,"height":680}],"subjects":[{"id":"d0016c54-4459-11e8-a2ac-0eefbb92016e","title":"Math","shortName":"math","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/math/math.svg","subSubject":{"id":"d0240865-4459-11e8-a2ac-0eefbb92016e","title":"Calculus","shortName":"calculus","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/math/calculus.svg"}},{"id":"d0240865-4459-11e8-a2ac-0eefbb92016e","title":"Calculus","shortName":"calculus","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/math/calculus.svg"}],"sampleQuestion":false,"createdDate":"2024-11-10T00:39:06.000Z","questionSource":"User","topics":[],"selectedText":null,"topicTaxonomy":[],"answeredDate":"2024-11-10T02:00:33.000Z","hasMicroExplainers":false,"microExplainersData":[],"computed":{"subject":{"id":"d0240865-4459-11e8-a2ac-0eefbb92016e","title":"Calculus","shortName":"calculus","smallImage":"https://isbn-assets.bnedcompass.com/subject_images/math/calculus.svg"},"childSubjectTitle":"Calculus"}},"answer":{"id":"01db3fa3-8fc1-4467-b167-956d95bcd203","status":"Accepted","questionId":"aac6577f-de09-48a0-b49f-a7318fd82e4a","createdDate":"2024-11-10T02:00:33.000Z","steps":[],"rejectionMessage":null,"imagesProcessed":1,"primaryRejectionReason":null,"secondaryRejectionReason":null,"numberOfAnswerSteps":0,"schemaAnswerSteps":"Step 1: Step 2: Step 3: Step 4:","previewAnswer":true,"hasMicroExplainers":false,"certified":false,"hasVideo":false},"isOwned":false,"isRestricted":false,"exactMatch":null,"parentQuestion":null,"isBlocked":false,"followUpQuestions":[],"defaultTopicAdded":false,"inReview":false,"isUnlocked":false,"practicePacks":[],"solutionSummaryDetails":{"imagesCount":3,"stepsCount":2,"hasVideo":false,"isPopular":false,"aiSummary":null},"isAiResponse":false,"isAiResponseAccepted":null,"answerSource":"COURSE_HERO","fullAnswerDisplayed":false,"isGoogleBot":false},"qnaStats":{"numberOfUpVotes":0,"numberOfDownVotes":0,"numberOfStars":null,"shouldShowRating":false,"pageViews":null},"followUpQuestions":[],"liveChatSupport":{"isLiveChatEnabled":true,"id":"d0240865-4459-11e8-a2ac-0eefbb92016e","title":"Calculus","shortName":"calculus","waitQueueTooLong":false},"shouldHideFollowUpForCurrentSubject":false,"questionHeaderText":"Find all first and second order partial derivatives of the given function. f(x,y) =xcos(y) sin(x) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS = P + Paragraph Open Sans,ari... 10pt \u003e11\u003c ABC - く ✓ QUESTION 5 + y2 f(x,y) = x²+2x-3y +xy + Find the equation of the tangent plane to the surface at (2,1). x + ]y-z=[ 99 Ω !!! \u003e \u003e \u003c| \u003e A \u003c \u003c Ix A 88 QUESTION 6 f(x,y) = x²- xy + y2 Use a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places. E","acceptedAnswerText":"","isBookshelved":false,"bookmarks":[],"questionText":"Find all first and second order partial derivatives of the given function. f(x,y) =xcos(y) sin(x) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS = P + Paragraph Open Sans,ari... 10pt \u003e11\u003c ABC - く ✓ QUESTION 5 + y2 f(x,y) = x²+2x-3y +xy + Find the equation of the tangent plane to the surface at (2,1). x + ]y-z=[ 99 Ω !!! \u003e \u003e \u003c| \u003e A \u003c \u003c Ix A 88 QUESTION 6 f(x,y) = x²- xy + y2 Use a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places. E","qnaQuestionXmlSchemaData":{"@context":"https://schema.org","@type":["QAPage","WebPage"],"mainEntityOfPage":{"@type":"WebPage","@id":"https://www.bartleby.com/questions-and-answers/find-all-first-and-second-order-partial-derivatives-of-the-given-function.-fxy-xcosy-sinx-for-the-to/aac6577f-de09-48a0-b49f-a7318fd82e4a"},"name":" Find all first and second order partial derivatives of the given function.f(x,y) =xcos(y)sin(x)For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).BIUS=P+ParagraphOpen Sans,ari...10pt\u0026gt;11\u0026lt;ABC-く ✓QUESTION 5+ y2f(x,y) = x²+2x-3y +xy +Find the equation of the tangent plane to the surface at (2,1).x +]y-z=[99 Ω!!!\u0026gt;\u0026gt;\u0026lt;|\u0026gt;A\u0026lt;\u0026lt;IxA88QUESTION 6f(x,y) = x²- xy + y2Use a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places.E","description":" Find all first and second order partial derivatives of the given function.f(x,y) =xcos(y)sin(x)For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).BIUS=P+ParagraphOpen Sans,ari...10pt\u0026gt;11\u0026lt;ABC-く ✓QUESTION 5+ y2f(x,y) = x²+2x-3y +xy +Find the equation of the tangent plane to the surface at (2,1).x +]y-z=[99 Ω!!!\u0026gt;\u0026gt;\u0026lt;|\u0026gt;A\u0026lt;\u0026lt;IxA88QUESTION 6f(x,y) = x²- xy + y2Use a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places.E","inLanguage":"en","headline":" Find all first and second order partial derivatives of the given function.f(x,y) =xcos(y)sin(x)For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).BIUS=P+ParagraphOpen Sans,ari...10pt\u0026gt;11\u0026lt;ABC-く ✓QUESTION 5+ y2f(x,y) = x²+2x-3y +xy +Find the equation of the tangent plane to the surface at (2,1).x +]y-z=[99 Ω!!!\u0026gt;\u0026gt;\u0026lt;|\u0026gt;A\u0026lt;\u0026lt;IxA88QUESTION 6f(x,y) = x²- xy + y2Use a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places.E","datePublished":"2024-11-10","dateModified":"2024-11-10","isAccessibleForFree":"False","hasPart":{"@type":"WebPageElement","isAccessibleForFree":"False","cssSelector":".paywall"},"mainEntity":{"@type":"Question","name":" Find all first and second order partial derivatives of the given function.f(x,y) =xcos(y)sin(x)For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).BIUS=P+ParagraphOpen Sans,ari...10pt\u0026gt;11\u0026lt;ABC-く ✓QUESTION 5+ y2f(x,y) = x²+2x-3y +xy +Find the equation of the tangent plane to the surface at (2,1).x +]y-z=[99 Ω!!!\u0026gt;\u0026gt;\u0026lt;|\u0026gt;A\u0026lt;\u0026lt;IxA88QUESTION 6f(x,y) = x²- xy + y2Use a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places.E","text":" Find all first and second order partial derivatives of the given function.f(x,y) =xcos(y)sin(x)For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).BIUS=P+ParagraphOpen Sans,ari...10pt\u0026gt;11\u0026lt;ABC-く ✓QUESTION 5+ y2f(x,y) = x²+2x-3y +xy +Find the equation of the tangent plane to the surface at (2,1).x +]y-z=[99 Ω!!!\u0026gt;\u0026gt;\u0026lt;|\u0026gt;A\u0026lt;\u0026lt;IxA88QUESTION 6f(x,y) = x²- xy + y2Use a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places.E","answerCount":1,"dateCreated":"2024-11-10","acceptedAnswer":{"@type":"Answer","text":"Step 1: Step 2: Step 3: Step 4:"},"url":"https://www.bartleby.com/questions-and-answers/find-all-first-and-second-order-partial-derivatives-of-the-given-function.-fxy-xcosy-sinx-for-the-to/aac6577f-de09-48a0-b49f-a7318fd82e4a"}},"breadcrumbXmlSchemaData":{"@context":"http://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https://www.bartleby.com/","name":"Bartleby Textbook Solutions"}},{"@type":"ListItem","position":2,"item":{"@id":"https://www.bartleby.com/subject/math","name":"Math Q\u0026A and Textbook Solutions"}},{"@type":"ListItem","position":3,"item":{"@id":"https://www.bartleby.com/subject/math/calculus","name":"Calculus Q\u0026A, Textbooks, and Solutions"}},{"@type":"ListItem","position":4,"item":{"@id":"https://www.bartleby.com/subject/math/calculus/questions-and-answers","name":"Calculus Q\u0026A Library"}},{"@type":"ListItem","position":5,"item":{"@id":"https://www.bartleby.com/questions-and-answers/find-all-first-and-second-order-partial-derivatives-of-the-given-function.-fxy-xcosy-sinx-for-the-to/aac6577f-de09-48a0-b49f-a7318fd82e4a","name":"Find all first and second order partial derivatives of the given function. f(x,y) =xcos(y) sin(x) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS = P + Paragraph Open Sans,ari... 10pt \u0026gt;11\u0026lt; ABC - く ✓ QUESTION 5 + y2 f(x,y) = x²+2x-3y +xy + Find the equation of the tangent plane to the surface at (2,1). x + ]y-z=[ 99 Ω !!! \u0026gt; \u0026gt; \u0026lt;| \u0026gt; A \u0026lt; \u0026lt; Ix A 88 QUESTION 6 f(x,y) = x²- xy + y2 Use a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places. E"}}]},"solutionVideoXmlSchemaData":null,"topicVideoXmlSchemaData":null,"qnaBreadcrumbProps":{"breadcrumbWithH1Props":{"h1Text":"Find all first and second order partial derivatives of the given function. f(x,y) =xcos(y) sin(x) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS = P + Paragraph Open Sans,ari... 10pt \u003e11\u003c ABC - く ✓ QUESTION 5 + y2 f(x,y) = x²+2x-3y +xy + Find the equation of the tangent plane to the surface at (2,1). x + ]y-z=[ 99 Ω !!! \u003e \u003e \u003c| \u003e A \u003c \u003c Ix A 88 QUESTION 6 f(x,y) = x²- xy + y2 Use a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places. E","breadcrumbProps":{"parts":[{"name":"Math","linkProps":{"href":"/subject/math","isExternal":true},"shouldShrinkSlowly":true,"onClickGtmEvent":{"event":"Clicked on Q\u0026A Solution Breadcrumb","location":{"name":"Q\u0026A Solution Page"}}},{"name":"Calculus","linkProps":{"href":"/subject/math/calculus","isExternal":true},"shouldShrinkSlowly":true,"onClickGtmEvent":{"event":"Clicked on Q\u0026A Solution Breadcrumb","location":{"name":"Q\u0026A Solution Page"}}},{"name":"Find all first and second order partial derivatives of the given function. f(x,y) =xcos(y) sin(x) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS = P + Paragraph Open Sans,ari... 10pt \u003e11\u003c ABC - く ✓ QUESTION 5 + y2 f(x,y) = x²+2x-3y +xy + Find the equation of the tangent plane to the surface at (2,1). x + ]y-z=[ 99 Ω !!! \u003e \u003e \u003c| \u003e A \u003c \u003c Ix A 88 QUESTION 6 f(x,y) = x²- xy + y2 Use a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places. E","shouldShrinkSlowly":false}]}}},"qnaSample":{"id":"0001183d-8c9b-44b2-a8b7-072b245cc489","url":"/questions-and-answers/1-determine-the-area-of-the-region-bounded-by-the-graph-of-the-function-and-the-tangent-line-to-the-/0001183d-8c9b-44b2-a8b7-072b245cc489","slug":"1-determine-the-area-of-the-region-bounded-by-the-graph-of-the-function-and-the-tangent-line-to-the-"},"sampleQnaIHrefAndAs":"/questions-and-answers/1-determine-the-area-of-the-region-bounded-by-the-graph-of-the-function-and-the-tangent-line-to-the-/0001183d-8c9b-44b2-a8b7-072b245cc489#undefined","knowledgeBoosterProps":{"knowledgeBoosterIntroData":{"iconSrc":"/static/compass_v2/subjects/math/calculus.svg","subjectCopy":"calculus"},"ceLinks":[],"recommendedTextbooksData":{"popularTextBooks":[{"subject":"Algebra","isbn13":"9780395977224","author":"Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole","publisher":"McDougal Littell","bookTitle":"Algebra: Structure And Method, Book 1","smallImage":"https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif","textbookLinkProps":{"href":"/high-school-textbooks/algebra-structure-and-method-book-1/9780395977224/solutions"}},{"subject":"Algebra","isbn13":"9780547587776","author":"HOLT MCDOUGAL","publisher":"HOLT MCDOUGAL","bookTitle":"Holt Mcdougal Larson Pre-algebra: Student Edition…","smallImage":"https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg","textbookLinkProps":{"href":"/high-school-textbooks/holt-mcdougal-larson-pre-algebra-student-edition-2012-1st-edition/9780547587776/solutions"}},{"subject":"Algebra","isbn13":"9781305652231","author":"R. David Gustafson, Jeff Hughes","publisher":"Cengage Learning","bookTitle":"College Algebra (MindTap Course List)","smallImage":"https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif","textbookLinkProps":{"href":"/textbooks/college-algebra-mindtap-course-list-12th-edition/9781305652231/solutions"}},{"subject":"Algebra","isbn13":"9781133382119","author":"Swokowski","publisher":"Cengage","bookTitle":"Algebra \u0026 Trigonometry with Analytic Geometry","smallImage":"https://s3.amazonaws.com/compass-isbn-assets/textbook_empty_images/small_textbook_empty.svg","textbookLinkProps":{"href":"/textbooks/algebra-and-trigonometry-with-analytic-geometry-13th-edition/9781133382119/solutions"}},{"subject":"Algebra","isbn13":"9781938168383","author":"Jay Abramson","publisher":"OpenStax","bookTitle":"College Algebra","smallImage":"https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif","textbookLinkProps":{"href":"/textbooks/college-algebra-1st-edition/9781938168383/solutions"}},{"subject":"Algebra","isbn13":"9781337111348","author":"Bruce Crauder, Benny Evans, Alan Noell","publisher":"Cengage Learning","bookTitle":"Functions and Change: A Modeling Approach to Coll…","smallImage":"https://www.bartleby.com/isbn_cover_images/9781337111348/9781337111348_smallCoverImage.gif","textbookLinkProps":{"href":"/textbooks/functions-and-change-a-modeling-approach-to-college-algebra-mindtap-course-list-6th-edition/9781337111348/solutions"}}],"seeMoreTextBooksHref":"/search?scope=Textbooks\u0026q=Calculus\u0026subject=Calculus\u0026page=1"},"hasSimilarQuestions":true,"hasConceptExplainers":false,"hasPopularTextbooks":true,"dcsRecommendations":[{"questionUrl":{"href":"/questions-and-answers/explain-why-z-2-x-3y-is-not-a-function-of-x-and-y./eabc9cd2-e355-40db-a95e-96c32a41c4c1"},"questioText":"Explain why z2 = x + 3y is not a function of x and y."},{"questionUrl":{"href":"/questions-and-answers/draw-y-fx-1-1-1-2-2.51/d4f0c094-393c-4e30-ac53-6d89c6749924"},"questioText":"Draw y² = f(x)\n1+\n(1,-1)\n2\n(2.5,1)"},{"questionUrl":{"href":"/questions-and-answers/find-the-derivative-of-the-function.-ax-6x-9-8x-o-12x-9-8x-6x-9-o-181-9-82-8x-9-o-48x9-8x-3.-o-36x-9/4a2b2458-a1a7-41e9-8333-c329400ef824"},"questioText":"Find the derivative of the function.\n4.\nAz) = 6x (9 - 8x)*\nO (-12x) (9 - 8x)(6x-9)\nO (-182 )(9 - 8x) (8x – 9)\nO 48x(9 - 8x)3\n3\n(- 36x) (9 - 8x) (8x- 3)\nO (12x) (9 - 8x) (6x- 9)\n« Previous"},{"questionUrl":{"href":"/questions-and-answers/find-an-expression-for-the-function-fx-whose-graph-is-a-line-passing-through-the-points-4-5-and-9-9./b77d19a3-4889-4185-aad1-3e94463659ff"},"questioText":"Find an expression for the function f(x) whose graph is a line passing through the points (4, 5) and (9,-9). f(x) ="},{"questionUrl":{"href":"/questions-and-answers/direction-find-the-derivatives-of-the-following-functions-4.-fx-v2x-3-5.-fx-2-x-5-4-4-x5-1/ffbe7d89-f6ab-405e-959d-2017b56b3cbe"},"questioText":"Direction: Find the derivatives of the following functions:\n4. f(x) = v2x* +3\n5. f(x) = (2 x? + 5)-4 (4 x5 + 1)"},{"questionUrl":{"href":"/questions-and-answers/find-the-derivative-of-each-function.-hx-4x-8x16-5x-145x7-240x4-192x4-128-160x7-240x5-128x-192-192x-/eccba6a5-49c2-4c0c-8856-1991df119e4a"},"questioText":"Find the derivative of each function.\nh(x) = (4x³ + 8x)(16 – 5x)\n145x7 – 240x4 – 192x* + 128\nO -160x7 + 240x° – 128x² – 192\nO 192x7 + 145x³ + 240x4 – 128\nO -160x7 – 240x° + 192x² + 128"},{"questionUrl":{"href":"/questions-and-answers/find-f-1-if-f-z-iz-1./0479df5f-f9db-47ba-b944-9d5c5d182b71"},"questioText":"Find f-1 if f (z) = iz + 1."}],"gtmPageLocation":{"name":"Knowledge Booster"},"newlyPublishedQnaZippies":[]},"stickyHeaderProps":{"text":"Find all first and second order partial derivatives of the given function. f(x,y) =xcos(y) sin(x) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS = P + Paragraph Open Sans,ari... 10pt \u003e11\u003c ABC - く ✓ QUESTION 5 + y2 f(x,y) = x²+2x-3y +xy + Find the equation of the tangent plane to the surface at (2,1). x + ]y-z=[ 99 Ω !!! \u003e \u003e \u003c| \u003e A \u003c \u003c Ix A 88 QUESTION 6 f(x,y) = x²- xy + y2 Use a linear approximation at (2,3) to estimate the function value at (2.0,2.5). Round off to two decimal places. E"},"followUpQuestionProps":[],"qnaVideoProps":{"video":null,"topicVideo":null,"questionId":"aac6577f-de09-48a0-b49f-a7318fd82e4a","qnaHref":{"href":"/account/registration"}},"textbookModuleProps":{"bookInfoProps":{"shouldShowAbbreviatedView":true,"isbn13":"9780395977224","title":"Algebra: Structure And Method, Book 1","authors":"Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole","publisher":"Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole","edition":"(REV)00th Edition","bookCoverImageUrl":"https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif","bookUrl":"/high-school-textbooks/algebra-structure-and-method-book-1/9780395977224/solutions","bookExternalUrl":"https://www.amazon.com/b?node=283155"},"tocSelectorProps":{"isbn13":"9780395977224","isHighSchool":true,"tbsSlug":"algebra-structure-and-method-book-1","selectedChapterIndex":7,"chaptersAndSections":{"defaultValue":"7","defaultChildValue":"7-8","options":[{"text":"Introduction To Algebra","textPrefix":"1","chapterSequenceText":"1","sectionSequenceText":"1.1","value":"0","children":[{"text":"Variables","textPrefix":"1.1","sectionId":"d64cd727-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"1","sectionSequenceText":"1.1","value":"0-0"},{"text":"Grouping Symbols","textPrefix":"1.2","sectionId":"d64cfc6f-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"1","sectionSequenceText":"1.2","value":"0-1"},{"text":"Equations","textPrefix":"1.3","sectionId":"d64d2316-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"1","sectionSequenceText":"1.3","value":"0-2"},{"text":"Translating Words Into Symbols","textPrefix":"1.4","sectionId":"d64d49a2-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"1","sectionSequenceText":"1.4","value":"0-3"},{"text":"Translating Sentences Into Equations","textPrefix":"1.5","sectionId":"d64d6fb3-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"1","sectionSequenceText":"1.5","value":"0-4"},{"text":"Translating Problems Into Equations","textPrefix":"1.6","sectionId":"d64d9dab-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"1","sectionSequenceText":"1.6","value":"0-5"},{"text":"A Problem Solving Plan","textPrefix":"1.7","sectionId":"d64dc70d-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"1","sectionSequenceText":"1.7","value":"0-6"},{"text":"Number Lines","textPrefix":"1.8","sectionId":"d64df05b-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"1","sectionSequenceText":"1.8","value":"0-7"},{"text":"Opposites And Absolute Values","textPrefix":"1.9","sectionId":"d64e17f0-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"1","sectionSequenceText":"1.9","value":"0-8"},{"text":"Chapter Questions","textPrefix":"","sectionId":"d64cb0e2-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"1","sectionSequenceText":"1","value":"0-9"}],"sectionId":"d64cd727-e2fb-11ea-8bb2-02de5cfdf1e9"},{"text":"Working With Real Numbers","textPrefix":"2","chapterSequenceText":"2","sectionSequenceText":"2.1","value":"1","children":[{"text":"Basic Assumptions","textPrefix":"2.1","sectionId":"d64e6a73-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"2","sectionSequenceText":"2.1","value":"1-0"},{"text":"Addition On A Number Line","textPrefix":"2.2","sectionId":"d64e92de-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"2","sectionSequenceText":"2.2","value":"1-1"},{"text":"Rules For Addition","textPrefix":"2.3","sectionId":"d64ebb2e-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"2","sectionSequenceText":"2.3","value":"1-2"},{"text":"Subtracting Real Numbers","textPrefix":"2.4","sectionId":"d64ee4a3-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"2","sectionSequenceText":"2.4","value":"1-3"},{"text":"The Distributive Property","textPrefix":"2.5","sectionId":"d64f1095-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"2","sectionSequenceText":"2.5","value":"1-4"},{"text":"Rules For Multiplication","textPrefix":"2.6","sectionId":"d64f3ca5-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"2","sectionSequenceText":"2.6","value":"1-5"},{"text":"Problem Solving: Consecutive Integers","textPrefix":"2.7","sectionId":"d64f659c-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"2","sectionSequenceText":"2.7","value":"1-6"},{"text":"The Reciprocal Of A Real Number","textPrefix":"2.8","sectionId":"d64f8da5-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"2","sectionSequenceText":"2.8","value":"1-7"},{"text":"Dividing Real Numbers","textPrefix":"2.9","sectionId":"d64fb654-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"2","sectionSequenceText":"2.9","value":"1-8"},{"text":"Chapter Questions","textPrefix":"","sectionId":"d64e40ca-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"2","sectionSequenceText":"2","value":"1-9"}],"sectionId":"d64e6a73-e2fb-11ea-8bb2-02de5cfdf1e9"},{"text":"Solving Equation And Problems","textPrefix":"3","chapterSequenceText":"3","sectionSequenceText":"3.1","value":"2","children":[{"text":"Transforming Equations: Addition And Subtraction","textPrefix":"3.1","sectionId":"d65009e3-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"3","sectionSequenceText":"3.1","value":"2-0"},{"text":"Transforming Equations: Multiplication And Division","textPrefix":"3.2","sectionId":"d65032e9-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"3","sectionSequenceText":"3.2","value":"2-1"},{"text":"Using Several Transformations","textPrefix":"3.3","sectionId":"d6505bdc-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"3","sectionSequenceText":"3.3","value":"2-2"},{"text":"Using Equations To Solve Problems","textPrefix":"3.4","sectionId":"d650839f-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"3","sectionSequenceText":"3.4","value":"2-3"},{"text":"Equations With The Variable On Both Sides","textPrefix":"3.5","sectionId":"d650aff5-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"3","sectionSequenceText":"3.5","value":"2-4"},{"text":"Problem Solving: Using Charts","textPrefix":"3.6","sectionId":"d650dd27-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"3","sectionSequenceText":"3.6","value":"2-5"},{"text":"Costs, Income, And Value Problems","textPrefix":"3.7","sectionId":"d65107bf-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"3","sectionSequenceText":"3.7","value":"2-6"},{"text":"Proof In Algebra","textPrefix":"3.8","sectionId":"d6513176-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"3","sectionSequenceText":"3.8","value":"2-7"},{"text":"Chapter Questions","textPrefix":"","sectionId":"d64fded4-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"3","sectionSequenceText":"3","value":"2-8"}],"sectionId":"d65009e3-e2fb-11ea-8bb2-02de5cfdf1e9"},{"text":"Polynomials","textPrefix":"4","chapterSequenceText":"4","sectionSequenceText":"4.1","value":"3","children":[{"text":"Exponents","textPrefix":"4.1","sectionId":"d651827f-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"4","sectionSequenceText":"4.1","value":"3-0"},{"text":"Adding And Subtracting Polynomials","textPrefix":"4.2","sectionId":"d651a9ba-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"4","sectionSequenceText":"4.2","value":"3-1"},{"text":"Multiplying Monomials","textPrefix":"4.3","sectionId":"d651d0e0-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"4","sectionSequenceText":"4.3","value":"3-2"},{"text":"Powers Of Monimials","textPrefix":"4.4","sectionId":"d651f5e8-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"4","sectionSequenceText":"4.4","value":"3-3"},{"text":"Multiplying Polynomials By Monimials","textPrefix":"4.5","sectionId":"d6521b44-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"4","sectionSequenceText":"4.5","value":"3-4"},{"text":"Multiplying Polynomials","textPrefix":"4.6","sectionId":"d6524245-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"4","sectionSequenceText":"4.6","value":"3-5"},{"text":"Transforming Formulas","textPrefix":"4.7","sectionId":"d652691e-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"4","sectionSequenceText":"4.7","value":"3-6"},{"text":"Rate-time-distance Problems","textPrefix":"4.8","sectionId":"d6528dd6-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"4","sectionSequenceText":"4.8","value":"3-7"},{"text":"Area Problems","textPrefix":"4.9","sectionId":"d652b4a3-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"4","sectionSequenceText":"4.9","value":"3-8"},{"text":"Problems Without Solutions","textPrefix":"4.10","sectionId":"d652dbaa-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"4","sectionSequenceText":"4.10","value":"3-9"},{"text":"Chapter Questions","textPrefix":"","sectionId":"d65159d7-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"4","sectionSequenceText":"4","value":"3-10"}],"sectionId":"d651827f-e2fb-11ea-8bb2-02de5cfdf1e9"},{"text":"Factoring Polynomials","textPrefix":"5","chapterSequenceText":"5","sectionSequenceText":"5.1","value":"4","children":[{"text":"Factoring Integers","textPrefix":"5.1","sectionId":"d6532732-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"5","sectionSequenceText":"5.1","value":"4-0"},{"text":"Dividng Monomials","textPrefix":"5.2","sectionId":"d6534e6c-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"5","sectionSequenceText":"5.2","value":"4-1"},{"text":"Monomials Factors Of Polynomials","textPrefix":"5.3","sectionId":"d6537541-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"5","sectionSequenceText":"5.3","value":"4-2"},{"text":"Multiplying Binomials Mentally","textPrefix":"5.4","sectionId":"d65399d3-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"5","sectionSequenceText":"5.4","value":"4-3"},{"text":"Differences Of Two Squares","textPrefix":"5.5","sectionId":"d653c04e-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"5","sectionSequenceText":"5.5","value":"4-4"},{"text":"Squares Of Binomials","textPrefix":"5.6","sectionId":"d653e4eb-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"5","sectionSequenceText":"5.6","value":"4-5"},{"text":"Factoring Pattern For X2+bx+c, C Positive","textPrefix":"5.7","sectionId":"d65409c0-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"5","sectionSequenceText":"5.7","value":"4-6"},{"text":"Factoring Pattern For X2+bx+c, C Negative","textPrefix":"5.8","sectionId":"d6542e34-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"5","sectionSequenceText":"5.8","value":"4-7"},{"text":"Factoring Pattern For Ax2+bx+c","textPrefix":"5.9","sectionId":"d654546e-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"5","sectionSequenceText":"5.9","value":"4-8"},{"text":"Factoring By Grouping","textPrefix":"5.10","sectionId":"d6547c5a-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"5","sectionSequenceText":"5.10","value":"4-9"},{"text":"Using Several Methods Of Factoring","textPrefix":"5.11","sectionId":"d654a303-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"5","sectionSequenceText":"5.11","value":"4-10"},{"text":"Solving Equations By Factoring","textPrefix":"5.12","sectionId":"d654ff25-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"5","sectionSequenceText":"5.12","value":"4-11"},{"text":"Using Factoring To Solve Problems","textPrefix":"5.13","sectionId":"d65526f5-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"5","sectionSequenceText":"5.13","value":"4-12"},{"text":"Chapter Questions","textPrefix":"","sectionId":"d65302aa-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"5","sectionSequenceText":"5","value":"4-13"}],"sectionId":"d6532732-e2fb-11ea-8bb2-02de5cfdf1e9"},{"text":"Fractions","textPrefix":"6","chapterSequenceText":"6","sectionSequenceText":"6.1","value":"5","children":[{"text":"Simplifying Fractions","textPrefix":"6.1","sectionId":"d65573f2-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"6","sectionSequenceText":"6.1","value":"5-0"},{"text":"Multiplying Fractions","textPrefix":"6.2","sectionId":"d655b344-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"6","sectionSequenceText":"6.2","value":"5-1"},{"text":"Dividing Fractions","textPrefix":"6.3","sectionId":"d655d9f7-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"6","sectionSequenceText":"6.3","value":"5-2"},{"text":"Least Common Denominators","textPrefix":"6.4","sectionId":"d655feb0-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"6","sectionSequenceText":"6.4","value":"5-3"},{"text":"Adding And Subtracting Fractions","textPrefix":"6.5","sectionId":"d6565cff-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"6","sectionSequenceText":"6.5","value":"5-4"},{"text":"Mixed Expressions","textPrefix":"6.6","sectionId":"d656827c-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"6","sectionSequenceText":"6.6","value":"5-5"},{"text":"Polynomial Long Division","textPrefix":"6.7","sectionId":"d656a8b3-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"6","sectionSequenceText":"6.7","value":"5-6"},{"text":"Chapter Questions","textPrefix":"","sectionId":"d6554d17-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"6","sectionSequenceText":"6","value":"5-7"}],"sectionId":"d65573f2-e2fb-11ea-8bb2-02de5cfdf1e9"},{"text":"Applying Fractions","textPrefix":"7","chapterSequenceText":"7","sectionSequenceText":"7.1","value":"6","children":[{"text":"Ratios","textPrefix":"7.1","sectionId":"d6570f50-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"7","sectionSequenceText":"7.1","value":"6-0"},{"text":"Proportions","textPrefix":"7.2","sectionId":"d6573502-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"7","sectionSequenceText":"7.2","value":"6-1"},{"text":"Equations With Fractional Coefficient","textPrefix":"7.3","sectionId":"d6575aed-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"7","sectionSequenceText":"7.3","value":"6-2"},{"text":"Fractional Equations","textPrefix":"7.4","sectionId":"d6578163-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"7","sectionSequenceText":"7.4","value":"6-3"},{"text":"Percents","textPrefix":"7.5","sectionId":"d657ca6c-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"7","sectionSequenceText":"7.5","value":"6-4"},{"text":"Percents Problems","textPrefix":"7.6","sectionId":"d657f536-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"7","sectionSequenceText":"7.6","value":"6-5"},{"text":"Mixture Problems","textPrefix":"7.7","sectionId":"d6581dd0-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"7","sectionSequenceText":"7.7","value":"6-6"},{"text":"Work Problems","textPrefix":"7.8","sectionId":"d6588589-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"7","sectionSequenceText":"7.8","value":"6-7"},{"text":"Negative Exponents","textPrefix":"7.9","sectionId":"d658ae34-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"7","sectionSequenceText":"7.9","value":"6-8"},{"text":"Scientific Notation","textPrefix":"7.10","sectionId":"d658d786-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"7","sectionSequenceText":"7.10","value":"6-9"},{"text":"Chapter Questions","textPrefix":"","sectionId":"d656d06c-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"7","sectionSequenceText":"7","value":"6-10"}],"sectionId":"d6570f50-e2fb-11ea-8bb2-02de5cfdf1e9"},{"text":"Introduction To Functions","textPrefix":"8","chapterSequenceText":"8","sectionSequenceText":"8.1","value":"7","children":[{"text":"Equations In Two Variables","textPrefix":"8.1","sectionId":"d6594aac-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"8","sectionSequenceText":"8.1","value":"7-0"},{"text":"Points, Lines, And Their Graphs","textPrefix":"8.2","sectionId":"d65972a3-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"8","sectionSequenceText":"8.2","value":"7-1"},{"text":"Slope Of A Line","textPrefix":"8.3","sectionId":"d659995c-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"8","sectionSequenceText":"8.3","value":"7-2"},{"text":"The Slope-intercept Form Of A Linear Equation","textPrefix":"8.4","sectionId":"d659f378-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"8","sectionSequenceText":"8.4","value":"7-3"},{"text":"Determining An Equation Of A Line","textPrefix":"8.5","sectionId":"d65a1b56-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"8","sectionSequenceText":"8.5","value":"7-4"},{"text":"Functions Defined By Tables And Graphs","textPrefix":"8.6","sectionId":"d65a4502-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"8","sectionSequenceText":"8.6","value":"7-5"},{"text":"Functions Defined By Equations","textPrefix":"8.7","sectionId":"d65a6af0-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"8","sectionSequenceText":"8.7","value":"7-6"},{"text":"Linear And Quadratic Functions","textPrefix":"8.8","sectionId":"d65ac1ea-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"8","sectionSequenceText":"8.8","value":"7-7"},{"text":"Direct Variation","textPrefix":"8.9","sectionId":"d65ae787-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"8","sectionSequenceText":"8.9","value":"7-8"},{"text":"Inverse Variation","textPrefix":"8.10","sectionId":"d65b0c8f-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"8","sectionSequenceText":"8.10","value":"7-9"},{"text":"Chapter Questions","textPrefix":"","sectionId":"d658fe24-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"8","sectionSequenceText":"8","value":"7-10"}],"sectionId":"d6594aac-e2fb-11ea-8bb2-02de5cfdf1e9"},{"text":"Systems Of Linear Equations","textPrefix":"9","chapterSequenceText":"9","sectionSequenceText":"9.1","value":"8","children":[{"text":"The Graphing Method","textPrefix":"9.1","sectionId":"d65b6dfa-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"9","sectionSequenceText":"9.1","value":"8-0"},{"text":"The Substitution Method","textPrefix":"9.2","sectionId":"d65b94f1-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"9","sectionSequenceText":"9.2","value":"8-1"},{"text":"Solving Problems With Two Variables","textPrefix":"9.3","sectionId":"d65bba24-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"9","sectionSequenceText":"9.3","value":"8-2"},{"text":"The Addition-or-subtraction Method","textPrefix":"9.4","sectionId":"d65bdfe3-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"9","sectionSequenceText":"9.4","value":"8-3"},{"text":"Multiplication With The Addition-or-subtraction Method","textPrefix":"9.5","sectionId":"d65c1874-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"9","sectionSequenceText":"9.5","value":"8-4"},{"text":"Wind And Water Current Problems","textPrefix":"9.6","sectionId":"d65c3d3c-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"9","sectionSequenceText":"9.6","value":"8-5"},{"text":"Puzzle Problems","textPrefix":"9.7","sectionId":"d65c61d8-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"9","sectionSequenceText":"9.7","value":"8-6"},{"text":"Chapter Questions","textPrefix":"","sectionId":"d65b31a3-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"9","sectionSequenceText":"9","value":"8-7"}],"sectionId":"d65b6dfa-e2fb-11ea-8bb2-02de5cfdf1e9"},{"text":"Inequalities","textPrefix":"10","chapterSequenceText":"10","sectionSequenceText":"10.1","value":"9","children":[{"text":"Order Of Real Numbers","textPrefix":"10.1","sectionId":"d65ce3bf-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"10","sectionSequenceText":"10.1","value":"9-0"},{"text":"Solving Inequalities","textPrefix":"10.2","sectionId":"d65d0b04-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"10","sectionSequenceText":"10.2","value":"9-1"},{"text":"Solving Problems Involving Inequalities","textPrefix":"10.3","sectionId":"d65d3056-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"10","sectionSequenceText":"10.3","value":"9-2"},{"text":"Solving Combined Inequalities","textPrefix":"10.4","sectionId":"d65d74e8-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"10","sectionSequenceText":"10.4","value":"9-3"},{"text":"Absolute Value Of Products In Open Sentences","textPrefix":"10.5","sectionId":"d65d9abb-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"10","sectionSequenceText":"10.5","value":"9-4"},{"text":"Absolute Value Of Product In Open Sentences","textPrefix":"10.6","sectionId":"d65dc196-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"10","sectionSequenceText":"10.6","value":"9-5"},{"text":"Graphing Linear Inequalities","textPrefix":"10.7","sectionId":"d65e22ab-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"10","sectionSequenceText":"10.7","value":"9-6"},{"text":"Systems Of Linear Inequalities","textPrefix":"10.8","sectionId":"d65e48bc-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"10","sectionSequenceText":"10.8","value":"9-7"},{"text":"Chapter Questions","textPrefix":"","sectionId":"d65cbb0c-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"10","sectionSequenceText":"10","value":"9-8"}],"sectionId":"d65ce3bf-e2fb-11ea-8bb2-02de5cfdf1e9"},{"text":"Rational And Irrational Numbers","textPrefix":"11","chapterSequenceText":"11","sectionSequenceText":"11.1","value":"10","children":[{"text":"Properties Of Rational Numbers","textPrefix":"11.1","sectionId":"d65e9814-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"11","sectionSequenceText":"11.1","value":"10-0"},{"text":"Decimal Forms Of Rational Numbers","textPrefix":"11.2","sectionId":"d65ec05c-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"11","sectionSequenceText":"11.2","value":"10-1"},{"text":"Rational Square Roots","textPrefix":"11.3","sectionId":"d65f0196-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"11","sectionSequenceText":"11.3","value":"10-2"},{"text":"Irrational Square Roots","textPrefix":"11.4","sectionId":"d65f2742-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"11","sectionSequenceText":"11.4","value":"10-3"},{"text":"Square Roots Of Variable Expressions","textPrefix":"11.5","sectionId":"d65f4d70-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"11","sectionSequenceText":"11.5","value":"10-4"},{"text":"The Pythagorean Theorem","textPrefix":"11.6","sectionId":"d65f72ea-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"11","sectionSequenceText":"11.6","value":"10-5"},{"text":"Multiplying Dividing, And Simplifying Radicals","textPrefix":"11.7","sectionId":"d65fb905-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"11","sectionSequenceText":"11.7","value":"10-6"},{"text":"Adding And Subtracting Radicals","textPrefix":"11.8","sectionId":"d65fdfaf-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"11","sectionSequenceText":"11.8","value":"10-7"},{"text":"Multiplication Of Binomials Containing Radicals","textPrefix":"11.9","sectionId":"d660056d-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"11","sectionSequenceText":"11.9","value":"10-8"},{"text":"Simple Radical Equations","textPrefix":"11.10","sectionId":"d6602c94-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"11","sectionSequenceText":"11.10","value":"10-9"},{"text":"Chapter Questions","textPrefix":"","sectionId":"d65e6f1f-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"11","sectionSequenceText":"11","value":"10-10"}],"sectionId":"d65e9814-e2fb-11ea-8bb2-02de5cfdf1e9"},{"text":"Quadratic Functions","textPrefix":"12","chapterSequenceText":"12","sectionSequenceText":"12.1","value":"11","children":[{"text":"Quadratic Equations With Perfect Squares","textPrefix":"12.1","sectionId":"d66095f9-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"12","sectionSequenceText":"12.1","value":"11-0"},{"text":"Completing The Square","textPrefix":"12.2","sectionId":"d660bb80-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"12","sectionSequenceText":"12.2","value":"11-1"},{"text":"The Quadratic Formula","textPrefix":"12.3","sectionId":"d660e089-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"12","sectionSequenceText":"12.3","value":"11-2"},{"text":"Graphs Of Quadratic Equations: The Discriminant","textPrefix":"12.4","sectionId":"d6610933-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"12","sectionSequenceText":"12.4","value":"11-3"},{"text":"Methods Of Solving","textPrefix":"12.5","sectionId":"d6612f17-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"12","sectionSequenceText":"12.5","value":"11-4"},{"text":"Solving Problems Involving Quadratic Equations","textPrefix":"12.6","sectionId":"d66155d4-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"12","sectionSequenceText":"12.6","value":"11-5"},{"text":"Direct And Inverse Variation Involving Squares","textPrefix":"12.7","sectionId":"d6617c0e-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"12","sectionSequenceText":"12.7","value":"11-6"},{"text":"Joint And Combined Variation","textPrefix":"12.8","sectionId":"d661a15c-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"12","sectionSequenceText":"12.8","value":"11-7"},{"text":"Chapter Questions","textPrefix":"","sectionId":"d6606f1b-e2fb-11ea-8bb2-02de5cfdf1e9","chapterSequenceText":"12","sectionSequenceText":"12","value":"11-8"}],"sectionId":"d66095f9-e2fb-11ea-8bb2-02de5cfdf1e9"}],"textPrefix":""},"problems":{"defaultValue":"18","options":[{"text":"","textPrefix":" 1OE","href":"/solution-answer/chapter-89-problem-1oe-algebra-structure-and-method-book-1/9780395977224/e20dc48f-8dfb-442c-a745-5358bd896c88","value":"0","children":[]},{"text":"","textPrefix":" 2OE","href":"/solution-answer/chapter-89-problem-2oe-algebra-structure-and-method-book-1/9780395977224/265a96da-4ea9-47bb-805d-f8e7023d3bea","value":"1","children":[]},{"text":"","textPrefix":" 3OE","href":"/solution-answer/chapter-89-problem-3oe-algebra-structure-and-method-book-1/9780395977224/1e9a736a-2e13-4d96-9e52-19d1bc091376","value":"2","children":[]},{"text":"","textPrefix":" 4OE","href":"/solution-answer/chapter-89-problem-4oe-algebra-structure-and-method-book-1/9780395977224/715b74e8-7496-4709-9eb2-caaa83c1cabb","value":"3","children":[]},{"text":"","textPrefix":" 5OE","href":"/solution-answer/chapter-89-problem-5oe-algebra-structure-and-method-book-1/9780395977224/6b02f0ac-cdbf-4d13-8eec-1516b13a3470","value":"4","children":[]},{"text":"","textPrefix":" 6OE","href":"/solution-answer/chapter-89-problem-6oe-algebra-structure-and-method-book-1/9780395977224/794568e8-47ca-463a-a252-518f9d1f44d0","value":"5","children":[]},{"text":"","textPrefix":" 7OE","href":"/solution-answer/chapter-89-problem-7oe-algebra-structure-and-method-book-1/9780395977224/a98e496b-00c2-42c4-89d7-41af1bfe7565","value":"6","children":[]},{"text":"","textPrefix":" 8OE","href":"/solution-answer/chapter-89-problem-8oe-algebra-structure-and-method-book-1/9780395977224/a9ea1b54-26ca-473c-b23e-c751cb4dcd3d","value":"7","children":[]},{"text":"","textPrefix":" 9OE","href":"/solution-answer/chapter-89-problem-9oe-algebra-structure-and-method-book-1/9780395977224/2b69b05e-3a86-47d4-9e6a-0f0828617649","value":"8","children":[]},{"text":"","textPrefix":" 10OE","href":"/solution-answer/chapter-89-problem-10oe-algebra-structure-and-method-book-1/9780395977224/57f857c5-c3f0-4772-8cf7-8cd63c58eaaa","value":"9","children":[]},{"text":"","textPrefix":" 11OE","href":"/solution-answer/chapter-89-problem-11oe-algebra-structure-and-method-book-1/9780395977224/513985c0-536d-4efd-ad42-6c256e0e21fd","value":"10","children":[]},{"text":"","textPrefix":" 12OE","href":"/solution-answer/chapter-89-problem-12oe-algebra-structure-and-method-book-1/9780395977224/562a8179-60c3-4932-a8c3-e0a0e85b6f29","value":"11","children":[]},{"text":"","textPrefix":" 13OE","href":"/solution-answer/chapter-89-problem-13oe-algebra-structure-and-method-book-1/9780395977224/c253d348-abfd-47e5-a4f4-81b8f50163ef","value":"12","children":[]},{"text":"","textPrefix":" 14OE","href":"/solution-answer/chapter-89-problem-14oe-algebra-structure-and-method-book-1/9780395977224/8674a272-1873-4457-95f7-b4b9b7e17942","value":"13","children":[]},{"text":"","textPrefix":" 15OE","href":"/solution-answer/chapter-89-problem-15oe-algebra-structure-and-method-book-1/9780395977224/0fdcf359-4afb-4de9-891a-16800ebfb917","value":"14","children":[]},{"text":"","textPrefix":" 16OE","href":"/solution-answer/chapter-89-problem-16oe-algebra-structure-and-method-book-1/9780395977224/c0c216eb-1cab-4361-bf34-89511e0bb881","value":"15","children":[]},{"text":"","textPrefix":" 17OE","href":"/solution-answer/chapter-89-problem-17oe-algebra-structure-and-method-book-1/9780395977224/4a959698-2e11-4255-9758-bad71b098966","value":"16","children":[]},{"text":"","textPrefix":" 18OE","href":"/solution-answer/chapter-89-problem-18oe-algebra-structure-and-method-book-1/9780395977224/1fb42460-78a1-4fe4-92b0-8176b5fd2780","value":"17","children":[]},{"text":"","textPrefix":" 19OE","href":"/solution-answer/chapter-89-problem-19oe-algebra-structure-and-method-book-1/9780395977224/5646e8ba-5f36-424f-856f-ae7e0f517353","value":"18","children":[]},{"text":"","textPrefix":" 20OE","href":"/solution-answer/chapter-89-problem-20oe-algebra-structure-and-method-book-1/9780395977224/85388958-06da-42f1-b44b-b012f9cf0cc4","value":"19","children":[]},{"text":"","textPrefix":" 21OE","href":"/solution-answer/chapter-89-problem-21oe-algebra-structure-and-method-book-1/9780395977224/5d36a060-f236-43d6-80e4-2ed590c3da49","value":"20","children":[]},{"text":"","textPrefix":" 22OE","href":"/solution-answer/chapter-89-problem-22oe-algebra-structure-and-method-book-1/9780395977224/52e8cdf3-114d-415e-ab97-4f3838f76042","value":"21","children":[]},{"text":"","textPrefix":" 23OE","href":"/solution-answer/chapter-89-problem-23oe-algebra-structure-and-method-book-1/9780395977224/c62b7763-f57e-4329-9e22-c11702676ce9","value":"22","children":[]},{"text":"","textPrefix":" 24OE","href":"/solution-answer/chapter-89-problem-24oe-algebra-structure-and-method-book-1/9780395977224/7cae62ef-70da-404e-887e-85197892c1d5","value":"23","children":[]},{"text":"","textPrefix":" 1WE","href":"/solution-answer/chapter-89-problem-1we-algebra-structure-and-method-book-1/9780395977224/edd90bb9-87b1-4391-b518-9258712e2354","value":"24","children":[]},{"text":"","textPrefix":" 2WE","href":"/solution-answer/chapter-89-problem-2we-algebra-structure-and-method-book-1/9780395977224/7f5c07cc-53b5-4fb9-9192-03e0ca0280e8","value":"25","children":[]},{"text":"","textPrefix":" 3WE","href":"/solution-answer/chapter-89-problem-3we-algebra-structure-and-method-book-1/9780395977224/449d4b7e-259a-4525-be5b-f247572ccc34","value":"26","children":[]},{"text":"","textPrefix":" 4WE","href":"/solution-answer/chapter-89-problem-4we-algebra-structure-and-method-book-1/9780395977224/83f3174c-3dac-4571-909f-88d873bd5578","value":"27","children":[]},{"text":"","textPrefix":" 5WE","href":"/solution-answer/chapter-89-problem-5we-algebra-structure-and-method-book-1/9780395977224/31d2dfff-da2a-403d-b49c-89a16f54fd97","value":"28","children":[]},{"text":"","textPrefix":" 6WE","href":"/solution-answer/chapter-89-problem-6we-algebra-structure-and-method-book-1/9780395977224/ee121507-d47d-4dc3-97cb-2aa760ef6791","value":"29","children":[]},{"text":"","textPrefix":" 7WE","href":"/solution-answer/chapter-89-problem-7we-algebra-structure-and-method-book-1/9780395977224/58103ffe-4fe5-4719-9254-f63d5e94fb06","value":"30","children":[]},{"text":"","textPrefix":" 8WE","href":"/solution-answer/chapter-89-problem-8we-algebra-structure-and-method-book-1/9780395977224/5da7b9fd-7b7a-4784-9fcf-a3bdc347b21e","value":"31","children":[]},{"text":"","textPrefix":" 9WE","href":"/solution-answer/chapter-89-problem-9we-algebra-structure-and-method-book-1/9780395977224/7ef6426a-5b89-4764-a177-9e08e1cabed3","value":"32","children":[]},{"text":"","textPrefix":" 10WE","href":"/solution-answer/chapter-89-problem-10we-algebra-structure-and-method-book-1/9780395977224/d38de80b-6a08-4391-b9e0-eb4cc870731d","value":"33","children":[]},{"text":"","textPrefix":" 11WE","href":"/solution-answer/chapter-89-problem-11we-algebra-structure-and-method-book-1/9780395977224/0797dd5f-1ef4-4e2f-9b57-ced7fdf88166","value":"34","children":[]},{"text":"","textPrefix":" 12WE","href":"/solution-answer/chapter-89-problem-12we-algebra-structure-and-method-book-1/9780395977224/03655ab7-6f3c-4310-bae1-a15d8c816e51","value":"35","children":[]},{"text":"","textPrefix":" 13WE","href":"/solution-answer/chapter-89-problem-13we-algebra-structure-and-method-book-1/9780395977224/d088d169-5919-4a53-96d0-5ad18529755f","value":"36","children":[]},{"text":"","textPrefix":" 14WE","href":"/solution-answer/chapter-89-problem-14we-algebra-structure-and-method-book-1/9780395977224/2b22c68c-db28-4d8a-8ee3-e075bb182f53","value":"37","children":[]},{"text":"","textPrefix":" 15WE","href":"/solution-answer/chapter-89-problem-15we-algebra-structure-and-method-book-1/9780395977224/6111b7ea-beec-4299-a677-eb7092bf6707","value":"38","children":[]},{"text":"","textPrefix":" 16WE","href":"/solution-answer/chapter-89-problem-16we-algebra-structure-and-method-book-1/9780395977224/0f54a1d2-b610-4c52-a171-77a45e49bddf","value":"39","children":[]},{"text":"","textPrefix":" 17WE","href":"/solution-answer/chapter-89-problem-17we-algebra-structure-and-method-book-1/9780395977224/70b2d5b3-d3bf-49d9-af68-87d41678c2f5","value":"40","children":[]},{"text":"","textPrefix":" 18WE","href":"/solution-answer/chapter-89-problem-18we-algebra-structure-and-method-book-1/9780395977224/6976115b-3b7d-4dc2-88e1-e797fcdd0a3c","value":"41","children":[]},{"text":"","textPrefix":" 19WE","href":"/solution-answer/chapter-89-problem-19we-algebra-structure-and-method-book-1/9780395977224/9d8108b0-ef37-4291-b074-e5f3e11a161d","value":"42","children":[]},{"text":"","textPrefix":" 20WE","href":"/solution-answer/chapter-89-problem-20we-algebra-structure-and-method-book-1/9780395977224/8ea75a39-ae5d-42c8-aa77-5c91fa819e83","value":"43","children":[]},{"text":"","textPrefix":" 21WE","href":"/solution-answer/chapter-89-problem-21we-algebra-structure-and-method-book-1/9780395977224/36e67fb9-7d51-4301-80f3-6540282bc482","value":"44","children":[]},{"text":"","textPrefix":" 22WE","href":"/solution-answer/chapter-89-problem-22we-algebra-structure-and-method-book-1/9780395977224/56b8aadb-baff-42d5-83fe-3f8ec791337e","value":"45","children":[]},{"text":"","textPrefix":" 23WE","href":"/solution-answer/chapter-89-problem-23we-algebra-structure-and-method-book-1/9780395977224/9e5db3d6-26bc-4522-8c39-d468243dfe55","value":"46","children":[]},{"text":"","textPrefix":" 24WE","href":"/solution-answer/chapter-89-problem-24we-algebra-structure-and-method-book-1/9780395977224/809513d9-8bd2-46e2-9674-873b9be3eaf4","value":"47","children":[]},{"text":"","textPrefix":" 1P","href":"/solution-answer/chapter-89-problem-1p-algebra-structure-and-method-book-1/9780395977224/12f2e9e9-e5f2-4634-ba61-0287a903516e","value":"48","children":[]},{"text":"","textPrefix":" 2P","href":"/solution-answer/chapter-89-problem-2p-algebra-structure-and-method-book-1/9780395977224/c9174b54-8463-458f-8de5-b0d3144c7a71","value":"49","children":[]},{"text":"","textPrefix":" 3P","href":"/solution-answer/chapter-89-problem-3p-algebra-structure-and-method-book-1/9780395977224/e18bd616-633a-417b-874a-7f7035164246","value":"50","children":[]},{"text":"","textPrefix":" 4P","href":"/solution-answer/chapter-89-problem-4p-algebra-structure-and-method-book-1/9780395977224/90c0c28a-47db-496a-a5a3-f90d10b76e83","value":"51","children":[]},{"text":"","textPrefix":" 5P","href":"/solution-answer/chapter-89-problem-5p-algebra-structure-and-method-book-1/9780395977224/38bbdb26-2fc8-46d7-ad01-70f48acbe66f","value":"52","children":[]},{"text":"","textPrefix":" 6P","href":"/solution-answer/chapter-89-problem-6p-algebra-structure-and-method-book-1/9780395977224/24c45746-35b0-4594-8f20-63d9fbcceb53","value":"53","children":[]},{"text":"","textPrefix":" 7P","href":"/solution-answer/chapter-89-problem-7p-algebra-structure-and-method-book-1/9780395977224/9e5ff302-4cf3-47cc-8237-3c245eb4baf4","value":"54","children":[]},{"text":"","textPrefix":" 8P","href":"/solution-answer/chapter-89-problem-8p-algebra-structure-and-method-book-1/9780395977224/382d20c5-4e36-4ac9-a7a6-d6ccc9cb18aa","value":"55","children":[]},{"text":"","textPrefix":" 9P","href":"/solution-answer/chapter-89-problem-9p-algebra-structure-and-method-book-1/9780395977224/92ed2100-6ee1-499b-b88f-2fcdef67c7c7","value":"56","children":[]},{"text":"","textPrefix":" 10P","href":"/solution-answer/chapter-89-problem-10p-algebra-structure-and-method-book-1/9780395977224/51f11738-63fe-4076-8e14-e8177e9f4ac8","value":"57","children":[]},{"text":"","textPrefix":" 11P","href":"/solution-answer/chapter-89-problem-11p-algebra-structure-and-method-book-1/9780395977224/2aa78807-5a54-46d1-9fea-83006282cf66","value":"58","children":[]},{"text":"","textPrefix":" 12P","href":"/solution-answer/chapter-89-problem-12p-algebra-structure-and-method-book-1/9780395977224/5662a031-2ec3-4507-b92b-0c755b096f10","value":"59","children":[]},{"text":"","textPrefix":" 13P","href":"/solution-answer/chapter-89-problem-13p-algebra-structure-and-method-book-1/9780395977224/98c3a115-5ae7-4b2b-b86d-934084f9fcca","value":"60","children":[]},{"text":"","textPrefix":" 14P","href":"/solution-answer/chapter-89-problem-14p-algebra-structure-and-method-book-1/9780395977224/1482a666-083d-47a5-938d-629324e73e9c","value":"61","children":[]},{"text":"","textPrefix":" 15P","href":"/solution-answer/chapter-89-problem-15p-algebra-structure-and-method-book-1/9780395977224/515dfbd2-4924-4ed6-9abd-d4a583d0d89f","value":"62","children":[]},{"text":"","textPrefix":" 1MRE","href":"/solution-answer/chapter-89-problem-1mre-algebra-structure-and-method-book-1/9780395977224/de38f0b9-0ed6-4db5-9f28-a12ad9a56206","value":"63","children":[]},{"text":"","textPrefix":" 2MRE","href":"/solution-answer/chapter-89-problem-2mre-algebra-structure-and-method-book-1/9780395977224/5ff34e83-9d29-4205-8f89-6f05aa65732d","value":"64","children":[]},{"text":"","textPrefix":" 3MRE","href":"/solution-answer/chapter-89-problem-3mre-algebra-structure-and-method-book-1/9780395977224/b0608450-b9fb-4669-bfc8-c0fc860dc60d","value":"65","children":[]},{"text":"","textPrefix":" 4MRE","href":"/solution-answer/chapter-89-problem-4mre-algebra-structure-and-method-book-1/9780395977224/0be978d5-7aaa-4637-9667-3f7ff028f745","value":"66","children":[]},{"text":"","textPrefix":" 5MRE","href":"/solution-answer/chapter-89-problem-5mre-algebra-structure-and-method-book-1/9780395977224/6ebd365d-715d-4d88-af61-8331c02cc207","value":"67","children":[]},{"text":"","textPrefix":" 6MRE","href":"/solution-answer/chapter-89-problem-6mre-algebra-structure-and-method-book-1/9780395977224/10ec4b76-3384-466f-8cc0-f683f03184c7","value":"68","children":[]},{"text":"","textPrefix":" 7MRE","href":"/solution-answer/chapter-89-problem-7mre-algebra-structure-and-method-book-1/9780395977224/3322ec3d-6854-4dda-9476-5cc2ca04ae6b","value":"69","children":[]},{"text":"","textPrefix":" 8MRE","href":"/solution-answer/chapter-89-problem-8mre-algebra-structure-and-method-book-1/9780395977224/0ee2f0fc-b07a-4f51-b0ae-4bac8404387c","value":"70","children":[]},{"text":"","textPrefix":" 9MRE","href":"/solution-answer/chapter-89-problem-9mre-algebra-structure-and-method-book-1/9780395977224/b9fe0424-e0bc-425b-a070-bbb54d6580c0","value":"71","children":[]},{"text":"","textPrefix":" 10MRE","href":"/solution-answer/chapter-89-problem-10mre-algebra-structure-and-method-book-1/9780395977224/5ddade0e-c55f-476a-b476-3a7a64ff2eb1","value":"72","children":[]},{"text":"","textPrefix":" 11MRE","href":"/solution-answer/chapter-89-problem-11mre-algebra-structure-and-method-book-1/9780395977224/c52c2f0f-b013-454e-b33d-321cbc0b980a","value":"73","children":[]},{"text":"","textPrefix":" 12MRE","href":"/solution-answer/chapter-89-problem-12mre-algebra-structure-and-method-book-1/9780395977224/64129484-5088-418b-9be6-f29efca9eb6a","value":"74","children":[]}],"defaultChildValue":"0"}},"similarTextnooksHref":"/subject/math/algebra/textbook-answers","qnaZippiesProps":{"headerProps":{"title":"Related questions","iconUrl":"/static/compass_v2/leftrail/relatedQuestions.svg","iconWidth":"12px","iconHeight":"14px","iconAlt":"","iconBackgroundColor":"#D8199E","buttonAriaProps":{"aria-label":"open related questions","aria-controls":"related-question-panel","id":"related-question-left-rail"}},"zippies":[{"question":"Calculus Question","answer":"Approach to Solving the Question: After reviewing the screenshots, I can provide a step-by-step…","href":"/questions-and-answers/calculus-question/e93454c9-71bd-44fe-83e6-126b1f285069"},{"question":"solve it please","answer":"","href":"/questions-and-answers/in-this-question-well-gather-information-for-sketching-the-function-1.-for-which-values-of-a-is-fx-c/94a913f7-4281-4a67-9f1a-74df50873d84"},{"question":"Hi i need help with Derivatives of Hyperbolic functions. \nHow do I differentiate and simplify y =…","answer":"Step 1: Step 2: Step 3: Step 4:","href":"/questions-and-answers/hi-i-need-help-with-derivatives-of-hyperbolic-functions.-how-do-i-differentiate-and-simplify-y-sinh-/33a89383-a01f-4ed3-81e2-1b857f0df5a1"},{"question":"Find the derivative of the function.\nh(x) =\n√1-x² sin-1(x)\nh'(x) =\nNeed Help?\nRead It\nSubmit Answer…","answer":"","href":"/questions-and-answers/find-the-derivative-of-the-function.-hx-1-x-sin-1x-hx-need-help-read-it-submit-answer-06-points-deta/678b0f86-ef8c-4318-bfc9-9968b6388c12"},{"question":"Given the following linear regression line (assume σ = 0.025):\ny = 0.095 x -0.12\nFollow the steps…","answer":"Step 1Step 2Step 3 :3. Compute the probability that the observed value of flow rate will exceed…","href":"/questions-and-answers/given-the-following-linear-regression-line-assume-s-0.025-y-0.095-x-0.12-follow-the-steps-below-to-c/c2285721-4332-4b20-a53c-84717a44dca2"},{"question":"f(x)= 1/(13x+7) a) what is the slope of the funtions graph at x=5? slope= f'(5) b) What is equation…","answer":"Step 1:The given function is f(x)=13x+71.Determine the…","href":"/questions-and-answers/fx-113x7-a-what-is-the-slope-of-the-funtions-graph-at-x5-slope-f5-b-what-is-equation-for-the-tangent/b12334ea-4b8b-441b-87e8-0439fa53fe61"},{"question":"Sketch the region enclosed by the curves y = 2 sin(x), y = 2 csc²(x), x = and x = 3, and compute its…","answer":"Step 1:The graph of two function is given belowStep 2:Obviously2csc2x≥2sinxfor all x∈[4π,43π]So…","href":"/questions-and-answers/sketch-the-region-enclosed-by-the-curves-y-2-sinx-y-2-cscx-x-and-x-3-and-compute-its-area.-a-4-4-sub/e1d41b62-b6ae-4951-9193-f11a08992577"},{"question":"Which of the following is a solution of the initial value problem\n√ y ln(y) dx + x dy = 0\n\\y(e) = e…","answer":"ANSWER :","href":"/questions-and-answers/which-of-the-following-is-a-solution-of-the-initial-value-problem-y-lny-dx-x-dy-0-ye-e-dt-inlnt-k-1-/9aa2f7c0-9173-401f-8bce-df07872f6aab"},{"question":"Instruction:\nCourse Name: Calculus with Analytical Geometry-1\nCourse Code: MATH 132\n1. Solution must…","answer":"The approximate area using trapezoidal rule under the curve y(x) for a≤x≤bis given…","href":"/questions-and-answers/instruction-course-name-calculus-with-analytical-geometry-1-course-code-math-132-1.-solution-must-ha/04f15a30-6d3f-4875-93ca-684a2d38e894"},{"question":"Let f(x)= x sin(1/x4)e−1/x2 and g(x)= e−1/x2 .Using the familiar properties of these functions,…","answer":"Why the results are surprising but not in conflict with Theorem 5.3.6.1 The results may seem…","href":"/questions-and-answers/let-fx-x-sin1x4e1x2-and-gx-e1x2-.using-the-familiar-properties-of-these-functions-compute-the-limit-/8792e242-149a-4ecb-82fe-a67e417bcbe4"},{"question":"Question 5\nFind a correct to 2 decimal places.\n53°\nUpload Choose a File\n95\nX\n40°\n3 pts","answer":"","href":"/questions-and-answers/question-5-find-a-correct-to-2-decimal-places.-53-upload-choose-a-file-95-x-40-3-pts/52db19f9-e19f-455d-8acb-75d2030748b1"},{"question":"Consider the solid object lying inside both the cylinder x2+y2=1x2+y2=1 and the sphere…","answer":"","href":"/questions-and-answers/consider-the-solid-object-lying-inside-both-the-cylinderx2y21x2y21and-the-spherex2y2z24x2y2z24forz0z/95542a36-505a-4607-a7b0-4cf12af156ed"},{"question":"Help me with the accurate answer pls","answer":"We solve the given problem by differentiating the expression 3f(x) + 4g(x) using the values from the…","href":"/questions-and-answers/x-0-1-2-3-4-5-6-fx-3-2-1-2-3-4-0-fx-2-1-2-4-1-0-3-756-x-0-1-gx-1-3-gx-2-3-320-25-2-4-56-1-0-2-3-4-1-/65e4eab2-7447-4c18-ba9e-ec7bb88dd196"},{"question":"For #1, find parts (a)-(c) only. DO NOT SOLVE the problem!!!!\n1. A company wishes to manufacture an…","answer":"a) A=s2+4shb) s2h=32c) A(s)=s2+s128","href":"/questions-and-answers/for-1-find-parts-a-c-only.-do-not-solve-the-problem-1.-a-company-wishes-to-manufacture-an-open-recta/b7ea5eeb-0e74-46e5-87b8-d8e10f0b528d"},{"question":"1\n√x(x² + 4x + 5) dx","answer":"To solve this integral, we can use the method of partial fraction decomposition. Let's go through…","href":"/questions-and-answers/1-xx-4x-5-dx/bbc65d95-0cae-46f7-981b-481015f07262"},{"question":"Question 1\n1 pts\nThe function z = 4x²y³ +6xy² + 3 xy has exactly three critical points, forming a…","answer":"To find the value of cos(24 ∘), we don't need to analyze the critical points or the perimeter of the…","href":"/questions-and-answers/question-1-1-pts-the-function-z-4xy-6xy-3-xy-has-exactly-three-critical-points-forming-a-triangle-in/b5967d87-ffd3-48b6-b9f2-442e0e140fc6"},{"question":"Find the absolute maximum and minimum values of the following functions on the given region R.","answer":"Step 1:Givenf(x,y)=x2+y2−2y+1onR={(x,y):x2+y2≤4}The function is defined on a closed region. So…","href":"/questions-and-answers/fx-y-x-y-2y-1-r-x-y-x-y-4/421b30ef-a23b-4ea2-aafa-d54085816958"},{"question":"S\n1\nx²√25-x2 dx","answer":"Step 1:Step 2: Step 3: Step 4:","href":"/questions-and-answers/s-1-x25-x2-dx/822a8645-1d46-41ef-ac98-29c6a08713d1"},{"question":"1)\nSolve for x:\nlog(x) + log(x + 4) = 2\n2)\nA sector of a circle has a central angle of 45°. Find the…","answer":"1. log(x)+log(x+4)=2Addition Property: loga+logb=logablog[x(x+4)]=2log(x2+4x)=2Convert to an…","href":"/questions-and-answers/question-5-find-a-correct-to-2-decimal-places.-53-upload-choose-a-file-95-x-40-3-pts/20404187-25db-46ad-a660-9c8ece1850b8"},{"question":"We consider a sequence (X^)^-1 of independent random variables such that\nP(X=1)=1- P(Xn = −1) = Pn.…","answer":"","href":"/questions-and-answers/we-consider-a-sequence-x-1-of-independent-random-variables-such-that-px11-pxn-1-pn.-n-for-all-n-x.-w/a533735d-ef9e-4c09-b4b6-3ac6cee0fea1"},{"question":"f(x,y)=e^-x^2-y^2-2x+y\n \nHow would I find the maximum value","answer":"Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.","href":"/questions-and-answers/fxye-x2-y2-2xy-how-would-i-find-the-maximum-value/ac10dffa-3491-412d-8d50-258585fd7f4b"},{"question":"Let y(x) be the solution of the initial value problem\ny'\n=\n1 +\n+ 60-y/x\nх\n,\ny(1)=0\nThen y(4) 4 ln(k)…","answer":"1.Step 1:Giveny′=1+xy+6e−xyLety=vxTheny′=v+xv′The differential equation can be written…","href":"/questions-and-answers/let-yx-be-the-solution-of-the-initial-value-problem-y-1-60-yx-h-y10-then-y4-4-lnk-with-k-equal-to-en/4d610811-340f-43db-85fa-29ba84c00a91"},{"question":"2\nSuppose that f(x, y, z) = 4x+5y + 2z at which x² + y² + z ² ≤ 3 ².\n1. Absolute minimum of f(x, y,…","answer":"","href":"/questions-and-answers/2-suppose-that-fx-y-z-4x5y-2z-at-which-x-y-z-3-.-1.-absolute-minimum-of-fx-y-z-is-2.-absolute-maximu/014a4ee9-025b-4f51-a2da-53c6bd662a0f"},{"question":"4. The entrance to the Louvre Museum in Paris, France is a giant\nglass pyramid.\nThe square base has…","answer":"If you have any problem let me know in the comment section.","href":"/questions-and-answers/4.-the-entrance-to-the-louvre-museum-in-paris-france-is-a-giant-glass-pyramid.-the-square-base-has-s/f7d8908c-5bbc-47f1-aaa5-117f7c710143"},{"question":"Consider following function f(x) = ln(x2 - 16) for x \u0026gt; 4Attached figure shows a part of graph of…","answer":"f(x)=ln(x^2−16) for x\u0026gt;4. The graph cuts the x-axis at a point A(a,0) and has a tangent line L at…","href":"/questions-and-answers/aless-x4-b-f-aa-0-x/4f2de7d9-79aa-4965-8165-03d5a7620566"},{"question":"Do not use AI apps for solving these maths . To solve by handwriting","answer":"We are asked to find the limit of the function (x-2)^-16 as x approaches 2 using L'Hopital's Rule.…","href":"/questions-and-answers/course-name-calculus-with-analytical-geometry-1-course-code-math-132-do-not-use-artificial-intellige/528c6715-d869-4cf2-9064-17c76ad16160"},{"question":"A doctor prescribes a 400 mg antibiotic tablet to be taken every eight hours. It is known that the…","answer":"Step 1: Step 2: Step 3: Step 4:","href":"/questions-and-answers/a-doctor-prescribes-a-400-mg-antibiotic-tablet-to-be-taken-every-eight-hours.-it-is-known-that-the-b/696a96ea-5ae0-4d1d-a8d2-3c3020b24835"},{"question":"We consider a sequence (X)-1 of i.i.d. random variables such that\nP(X₁ = 1) = P(X₁ = −1) = 1/2.…","answer":"","href":"/questions-and-answers/we-consider-a-sequence-x-1-of-i.i.d.-random-variables-such-that-px-1-px-1-12.-consider-the-filtratio/6050c4d1-5d91-487c-ac42-fdb4ac3d1691"},{"question":"(b) Prove that for every positive integer n that\n1 × 22+2 × 3² + 3 × 4² +\n...\n·+n(n + 1)²\n=\nn(n +…","answer":"Step 1: Define the mathematical statement P(n) for all positive integers, i.e., ∀n∈N.…","href":"/questions-and-answers/b-prove-that-for-every-positive-integer-n-that-1-222-3-3-4-...-nn-1-nn-1n-23n-5-12/eb34b003-c7f3-4017-90a1-af8c08f038a6"},{"question":"t-1\nFor the function y(t)=\n2-1\n, as t approaches 2, y(t) approaches 1/3.4\nWhich of the following…","answer":"","href":"/questions-and-answers/t-1-for-the-function-yt-2-1-as-t-approaches-2-yt-approaches-13.4-which-of-the-following-applies-oy2-/76bc65d2-0216-4807-b767-839302d0277d"},{"question":"solve it and give the right answer","answer":"FIRST PART:We need to understand the following: The first derivative of f describes the monotonicity…","href":"/questions-and-answers/consider-the-graph-of-the-function-fx-shown-below.-a-consider-the-function-at-the-point-1.-fx1-is-fx/9f64a86a-1853-4c31-bf70-7814d3367f1c"},{"question":"4\n2\nThe function f is defined by f(x)=√x\nfor x \u003e 0.\nx3\nPart A: Find f'(x).\nPart B: Write an equation…","answer":"Step 1:The given function is:f(x)=x4−x32This can be written as:f(x)=x214−x32f(x)=4x−21−2x−3…","href":"/questions-and-answers/4-2-the-function-f-is-defined-by-fxx-for-x-greater-0.-x3-part-a-find-fx.-part-b-write-an-equation-fo/a7ae58c1-7d9b-4f61-931f-aa355a5317f1"},{"question":"ما\nning Resources\nils\nSketch the region enclosed by the curves\nx-6= 2y and x-16=(y-5)², and compute…","answer":"See the attachments below.","href":"/questions-and-answers/ma-ning-resources-ils-sketch-the-region-enclosed-by-the-curves-x-6-2y-and-x-16y-5-and-compute-its-ar/9539c962-af70-4d22-aa9a-36e20fe36923"},{"question":"please help thank you a lot","answer":"","href":"/questions-and-answers/4-the-volume-of-a-sphere-is-v-pr.-suppose-we-know-dr-2mmin.-how-fast-is-the-volume-changing-when-the/74b679e2-83ae-4e80-b122-67b8f4383420"},{"question":"If\nf(x)\n√ 1, |x| a.\n∞ sin s\nthen fo\nSelect one:\n○ True\nO False\nS\nds = π.","answer":"Given: I=∫0∞ssin(s)ds. This is known as the Dirichlet Integral. Understanding the Improper…","href":"/questions-and-answers/if-fx-1-orxor-a.-infinity-sin-s-then-fo-select-one-true-o-false-s-ds-p./3640b5e6-9568-45d2-907f-de618a431446"},{"question":"Find the upper and lower bound for ²²dA where R = {(x,y)| -1\u003c\u003c4,-1\u003cy≤2}\n√ √\nR\nDouble Integral\nPlot…","answer":"Step-by-Step Solution:1. Define the FunctionWe are given f(x,y)=x2y2 , which is non-negative, so…","href":"/questions-and-answers/find-the-upper-and-lower-bound-for-da-where-r-xyor-1lessless4-1lessy2-r-double-integral-plot-of-inte/ce71357e-61af-4c45-9c0e-f14798f64b7a"},{"question":"7. Given y()(x) — 3y(x) = e**. Describe Yparticular (x)\nbut do not find it.","answer":"Differential Equation Overview: This is a non-homogeneous linear differential equation of fourth…","href":"/questions-and-answers/7.-given-yx-3yx-e.-describe-yparticular-x-but-do-not-find-it./bb07225b-86ad-4f83-8709-eaded41f97ca"},{"question":"If f(x)=2x^5 cos(x), what is f'(x)?","answer":"Step 1:Step 2: Step 3: Step 4:","href":"/questions-and-answers/if-fx2x5-cosx-what-is-fx/559a9c51-73ba-4f4b-aef4-cc2ab3a73c8f"},{"question":"6. [-/1 Points]\nDETAILS\nMY NOTES\nTANAPCALCBR10 3.R.026.\nASK YOUR TEACHER\nPRACTICE ANOTHER\nFind the…","answer":"6. Use the product rule in combination with the power rule to get the derivative:Product…","href":"/questions-and-answers/6.-1-points-details-my-notes-tanapcalcbr10-3.r.026.-ask-your-teacher-practice-another-find-the-deriv/086882e3-a73a-4233-9219-d710abd8d4c8"},{"question":"Prove that the equation 2x² + |x| - 2 cos(x)\n=\n4 has exactly two solutions.","answer":"","href":"/questions-and-answers/prove-that-the-equation-2x-orxor-2-cosx-4-has-exactly-two-solutions./6660ad77-bf81-4b8b-b4b9-d08685e103a3"},{"question":"1,2,\n€3\n6. Given y (2)(x) - 3y(x) = 3xsin (5x). Describe\nYparticular (x) but do not find it.\n7.…","answer":":","href":"/questions-and-answers/12-euro3-6.-given-y-2x-3yx-3xsin-5x.-describe-yparticular-x-but-do-not-find-it.-7.-given-y-2-x-3yx-e/7a6221c4-fc25-442b-807c-202e77c04a5f"},{"question":"S\nQ4. [5 marks] I have 100 m of fencing and I want to fence off an area in the middle of a large…","answer":"Step 1: Step 2: Step 3: Step 4:","href":"/questions-and-answers/s-q4.-5-marks-i-have-100-m-of-fencing-and-i-want-to-fence-off-an-area-in-the-middle-of-a-large-field/c68f741d-6d20-41a8-8b12-77cd314c4506"},{"question":"Hi i need help with Derivatives of Hyperbolic functions. \nHow do I differentiate and simplify y = 5…","answer":"Step 1: Step 2:","href":"/questions-and-answers/hi-i-need-help-with-derivatives-of-hyperbolic-functions.-how-do-i-differentiate-and-simplify-y-5-cos/6d51d965-c834-4274-8b05-379177cf0b52"},{"question":"Solve all parts show work pls","answer":"","href":"/questions-and-answers/find-the-indefinite-integral.-1.-s-sin6-x-cos-x-dx-2.-s-sin-4x-cos-4x-dx-3.-s-sin-3x-cos-3x-dx-page-/0cbc957a-7080-44ad-b1e6-232d57dbf3b0"},{"question":"If u = 3y^2ex − xey + 5ez, v = xex + (y − z)ey, and a = 5x^3 − y + yz, evaluate:(a) u·v (b) u×v (c)…","answer":"Givenu=3y2ex−xey+5ezv=xex+(y−z)eyand a=5x3−y+yz(a) Dot product u⋅vIf u=u1ex−u2ey+u3ez and…","href":"/questions-and-answers/if-u-3y2ex-xey-5ez-v-xex-y-zey-and-a-5x3-y-yz-evaluate-a-uv-b-uv-c-v-d-a-e-u-based-on-your-answers-a/ef476a76-d9c3-45e3-81a3-ab09de8950a6"},{"question":"Consider the sequences\nап\n=\n✓ and bn\n(−1)\"-1\n=\n√n\nComplete the following steps:\nA. Calculate limn→∞…","answer":"Step 1: Step 2: Step 3: Step 4:","href":"/questions-and-answers/consider-the-sequences-ap-and-bn-1-1-n-complete-the-following-steps-a.-calculate-limninfinity-an-b.-/81c46ae0-fe27-4000-9dd6-3659e7c72611"},{"question":"answer it","answer":"Ans: minimum area:Ans second blank: value of x:Ans maximum area page 1:Ans maximum area page 2:Ans…","href":"/questions-and-answers/in-this-question-we-will-investigate-the-area-of-a-rectangle-that-can-be-circumscribed-about-a-given/4e02f39a-3404-4978-9d05-b134a9be2cb4"},{"question":"1) If a is a positive constant, what is the maximum value of the function\nIn(z)\nf(x) =\n-?","answer":"","href":"/questions-and-answers/1-if-a-is-a-positive-constant-what-is-the-maximum-value-of-the-function-inz-fx/e655f0a3-1d3f-45f3-9c2e-2a7e5bdce2b9"},{"question":"= 0.)\nExpress the function as the sum of a power series by first using partial fractions. (Give your…","answer":"Step 1: Step 2: Step 3: Step 4:","href":"/questions-and-answers/0.-express-the-function-as-the-sum-of-a-power-series-by-first-using-partial-fractions.-give-your-pow/d92d7bb7-c1ad-4de9-9edf-351d825dfb8f"},{"question":"11. Let\n-\nf(x) = −(x − 1)(x − 4)\n(a) Find the equation of the tangent line to the graph of\nf(x) at…","answer":"a) The equation of the tangent line is y = x.b) Graph of equation of tangent intersects the function…","href":"/questions-and-answers/11.-let-fx-x-1x-4-a-find-the-equation-of-the-tangent-line-to-the-graph-of-fx-at-the-point-2-2.-3.-2-/be4c5a04-c661-49e2-8ebb-77c3147e88a0"}],"onExpandGtmEvent":{"event":"User Expands Similar Questions in Left Rail Solution Page","location":"QNA Solution"}},"conceptExplainerZippiesProps":null},"qnaQuestionHeaderProps":{"satisfactionPercentage":null,"shouldShowRating":false},"slug":"find-all-first-and-second-order-partial-derivatives-of-the-given-function.-fxy-xcosy-sinx-for-the-to","shouldLoadABTasty":false,"qnAAggregateRatingXmlSchemaData":null}},"page":"/questions-and-answers/[...id]","query":{"id":["find-all-first-and-second-order-partial-derivatives-of-the-given-function.-fxy-xcosy-sinx-for-the-to","aac6577f-de09-48a0-b49f-a7318fd82e4a"]},"buildId":"f63bc52d7815b708337400d031020df4256805dc","assetPrefix":"/v2","isFallback":false,"gip":true,"scriptLoader":[]}</script></body></html>