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Please circle the final answer.</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/1.-differentiate.-a-fx-x43x-b-gx-x-ex-x-c-hx-23-d-y-sin-x-ex-e-qx-x-2x-f-y-2-cos-cosx/4fa7fc50-a327-469c-b76c-cdf8370cadcd" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Please help on all questions asked. Please show all work and steps. Please circle the final answer.</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/7-convert-p-in-radians-to-degrees-8/dafb22d4-fefd-4e52-bc6c-a496122b494e" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Asap7 I will rate helpful please help immediately</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/find-the-surface-area-and-volume-of-the-given-sphere.-round-your-answers-to-3-decimal-places.-surfac/f1dd2f8a-e577-4fd2-9011-98e217aea85d" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Asap5 I will rate helpful please help immediately</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/e-show-that-vx-t-ux-t-ux-t-is-solution-of-a-homogeneous-problem-with-a-different-initial-condition-a/0d7ed346-3e61-48a0-8236-b42a96af6267" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: I wrote out the question as requested and tried to re-upload the 2 questions I'm interested in. I…</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/consider-the-following-heat-equation-on-a-rod-which-includes-heat-loss-through-the-lateral-side-and-/790bf16f-1c0a-4a98-b1eb-652f4a80e35c" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Please utilizing the solutions to the previous sub questions, solve and write out explicitly the…</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/consider-the-following-heat-equation-on-a-rod-which-includes-heat-loss-through-the-lateral-side-and-/00faa39d-77d1-4183-84c5-f0f27d083011" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Could section E and F be solved explicitly please?</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/consider-the-following-heat-equation-on-a-rod-which-includes-heat-loss-through-the-lateral-side-and-/2e69855d-54b9-47f1-aa1e-9eb3e53e61b0" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Please solve with no summations in final solution. I attepted myself but am having trouble figuring…</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/consider-the-following-heat-equation-on-a-rod-which-includes-heat-loss-through-the-lateral-side-and-/457d5f8b-f55e-4c47-839b-420898ae2a2f" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Consider the following heat equation on a rod (which includes heat loss through the lateral side and…</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/8.-consider-the-function-x-x-8x-18x-27-and-in-factored-form-fx-x-1x-3-a-determine-the-x-and-y-interc/7396f302-08b7-4a73-b792-50312cfc678f" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: pls draw the graph by showing and incorporating everything.</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/4.-sketch-a-graph-of-a-rational-function-that-satisfies-the-following-conditions-f-0-0-f4-6-f-6-9-f0/ae5c03e8-f7df-4a4f-a03b-7582229221c9" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: pls help asap. pls draw the actual graph kindly as well as show all details and steps and work.</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/9.-a-farmer-wants-to-build-a-rectangular-pen-for-his-chickens-and-subdivide-it-into-8-smaller-pens-a/8f53da57-572d-4cf5-b207-dd3610adfa57" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Please help on all asked questions. Pls show all work and steps. Please circle the final answer.</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/8.-consider-the-function-x-x-8x-18x-27-and-in-factored-form-fx-x-1x-33-a-determine-the-x-and-y-inter/688cf959-abfc-449e-a403-18f8d232cea0" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Please help on all asked questions. Pls show all work and steps. Please circle the final answer.…</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/7.-find-the-intervals-over-which-the-function-fx-3x-5x-is-concave-down./8ebed158-0834-4c30-8aac-d79ad71d6bbc" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Please help on all asked questions. Pls show all work and steps. Please circle the final answer.</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/6.-determine-the-critical-points-of-the-given-function-and-classify-the-nature-of-each-critical-poin/2993aef6-6c24-4977-b012-e7814aca151a" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Please help on all asked questions. Pls show all work and steps. Please circle the final answer.</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/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" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Find all first and second order partial derivatives of the given function. f(x,y) =xcos(y) sin(x)…</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/the-method-of-cy-x-mth-252-6.4-volumes-x-mth-252-6.4-volumes-x-mypsu-2edfinity.comassessments67296ae/9fff313c-7ccb-4381-97b6-e99ce01810b9" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: The Method of Cy X MTH 252 6.4 Volumes X MTH 252 6.4 Volumes X myPSU…</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/sketch-the-graph-of-f-with-the-following-characteristics-f2f40-f3-is-defined-fxandlt0-if-xandlt3-f3-/d4e76518-a8c7-44a2-9808-ccc5374a73da" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Sketch the graph of f with the following characteristics: f(2)=f(4)=0 f(3) is defined f'(x)&lt;0 if…</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/4.-submit-answer-practice-similar-find-the-volume-of-the-solid-obtained-by-rotating-the-region-enclo/ef98b5fe-0b11-4fcf-af23-2c1a680bdd74" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: 44578.28 or 14184 π is the wrong answer for this question. I would like to try again for this…</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/1.-submit-answer-practice-similar-use-the-shell-method-to-find-the-volume-of-the-solid-obtained-by-r/07679e57-af93-4c60-881f-da64e3b4c382" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: 1. Submit answer Practice similar Use the Shell Method to find the volume of the solid obtained by…</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/find-dof12.-3-4-fxy-2x2-3xy-6y/95c8a019-cea5-449c-a393-baddf2866ad3" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Find Dof(1,2). น 3 -4 f(x,y) = 2x2-3xy + 6y</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/question-1-fxyx-y-sketch-the-level-curve-for-fixy-1.-for-the-toolbar-press-altf10-pc-or-altfnf10-mac/8f0888b9-590b-4342-936f-8ec2d56c1722" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: QUESTION 1 f(xy)=x²-y² Sketch the level curve for fix,y) = 1. For the toolbar, press ALT+F10 (PC) or…</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/find-d-f12.-fxy-2x2-3xy-6y/6ebb809f-0bff-41ba-99a4-00045dd315e8" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Find D f(1,2). น f(x,y) = 2x2 3xy + 6y</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/find-the-limit.-hint-use-polar-coordinates.-x2y2-lim-xy00-xy2-find-all-first-and-second-order-partia/3fdf73f5-70c3-488d-98ae-966cd890bce4" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Find the limit. Hint use Polar Coordinates. x2y2 lim (x,y)+(0,0) x²+y2</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/hw-supplement-exponentials-name-1.-find-the-derivatives.-show-all-work.-simplify-your-answers.-a.-fx/8d3a7c08-c091-4299-8a07-b3ac33affee6" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: respond to these.</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/9.-02-points-details-my-notes-tanapcalcbr10-5.1.040.-previous-answers-ask-your-teacher-decline-of-am/d416abf5-69c2-4fc5-bc1b-1383618b7149" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: respond to these three.</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/hw-supplement-exponentials-name-1.-find-the-derivatives.-show-all-work.-simplify-your-answers.-a.-fx/f5f46500-197d-4b2d-8bbc-225fb12b739c" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Solve for all of these with steps</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/7-the-growth-of-corn-leaves-is-modeled-by-the-equation-at-105-132900e-.04t-where-at-is-the-leafs-are/07aa2869-28f8-4aa6-b844-5093c14c8e9d" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: 7) The growth of corn leaves is modeled by the equation: A(t) 105 = 1+32900e-.04t Where A(t) is the…</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/6-a-certain-radioactive-element-has-a-decay-rate-of-7-percent-per-day-that-is-it-satisfies-the-equat/ffdc29a6-9fda-4930-91bc-bba11a8c1174" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: 6) A certain radioactive element has a decay rate of 7 % per day, that is it satisfies the equation:…</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/b-ving-after-july.-2-c-what-kind-of-time-will-lation-5-5-a-bank-advertises-that-it-compounds-continu/a78e1e4e-f61e-4e52-9b7b-39a900d4cddb" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: b) Ving after July). (2) c) what kind of time will: lation (5) 5) A bank advertises that it…</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/4-the-population-of-the-united-kingdom-in-july-2002-was-estimated-to-be-59.8-million.-at-that-time-i/ebeb0b8b-7b5b-4aa0-8873-a305cbb2f167" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: 4) The Population of the United Kingdom in July 2002 was estimated to be 59.8 million. At that time…</a></div></div></div></div><div class="VerticalSpacer-sc-2377adbb-0 gaiSUm"></div><div class="styles__QnaZippiesOuterContainer-sc-1935bbd8-0 bHaGqI"><div class="styles__LinkCollectionContainerV1-sc-a8a1f471-0 bVQTDJ"><div class="styles__LinkCollectionContainerHeaderButtonAndBorderV1-sc-420183d8-1 jcPHRF"><div class="styles__LinkCollectionHeadersContainerV1-sc-420183d8-0 fYGnSC"><h1 class="PageSectionHeader-sc-1193f6cc-0 fKFQAJ">Most Popular Calculus Homework Q&A</h1><p class="PageSectionSubHeader-sc-ab38f8fe-0 cXaYUd">Find answers to questions asked by students like you.</p></div><div class="styles__LinkCollectionExpandContainerV1-sc-420183d8-2 kdtkOG"><button aria-expanded="false" class="SegmentAnalyticsButton__ButtonWithNoStyle-sc-bd08475e-0 jZeIgm GhostButton-sc-2b1a9e6a-0 kEdpZh">Show more Q&A<i aria-hidden="true" class="Icon__IconStyledComponent-sc-4e7587c2-0 eSsUjx IconForButton-sc-d0b212f0-0 dRjAKo material-icons">add</i></button></div></div><div class="VerticalSpacer-sc-2377adbb-0 kiWBPl"></div><div class="styles__LinksContainerWithTabbingWrapper-sc-da404f1-0 dyXSZd styles__QnaZippiesContainer-sc-1935bbd8-1 kJhBbN"><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/using-the-digits-below-write-down-a-a-two-digit-number-with-rotational-symmetry-of-order-2.-b-a-thre/4d6fd355-5a5e-4804-8be0-b3b00c0e1dfb" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Using the digits below, write down a) a two-digit number with rotational symmetry of order 2. b) a…</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/the-graph-of-the-function-g-on-the-closed-interval-0-9-consists-of-four-line-segments-as-shown-above/1df7fda4-cc15-4df2-a9c5-a3083045d21c" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: The graph of the function g on the closed interval [0, 9] consists of four line segments, as shown…</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/question-let-f-be-the-function-defined-by-fx-lnx-2-1-and-let-g-be-the-function-defined-by-gx-x-5-x-3/f162f7e0-1af6-47a0-b6f7-2d2715f25782" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Question Let f be the function defined by f(x) = ln(x2 + 1), and let g be the function defined…</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/in-exploration-4.3.4-question-10-requires-factoring-2l-out-of-2xp6-determine-the-horizontal-shift-of/82b57a67-8877-45ad-bfb2-4ae77ae1847f" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: In Exploration 4.3.4, Question 10 requires factoring 2л out of (2x+π/6) determine the horizontal…</a></div></div><div class="styles__LinksContainerWithTabbingWrapper-sc-da404f1-0 eIBNWH"><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/consider-a-spherical-tumour-of-inner-radius-r-and-outer-radius-r-where-0-less-r-less-r.-the-tumour-h/e460be80-ea85-4948-a40d-e0540cc073b0" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: please help me im confused thank you</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/using-linearization-show-that-sinx-when-0.-apply-that-to-approximate-sin0.0001./48fee50e-d1b8-4495-92fb-231bdfc817a3" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Using linearization, show that sin(x) ≈ when ≈ 0. 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An exponential function of the form F(x) = a ·bx+c is shown in the table below. 3 6 x F(x) -8 -6…</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/allison-lives-in-whoville-which-has-coordinates-of-60-n-98-w.-earths-radius-is-3960-miles-what-is-al/4a437a50-aa4d-445d-9bae-f84448576bb0" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Allison lives in Whoville, which has coordinates of 60° N, 98° W. 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A certain wild waterfowl that is hunted for food each year is being tracked for growth in order…</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/find-the-function-gx-satisfying-the-two-conditions-1.-gx-512x-2.-the-maximum-value-of-gx-is-5.-9x/6cda46f9-7a0e-4210-a7ea-621b1c48e217" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Find the function g(x) satisfying the two conditions: 1. g'(x) =-512x³ 2. 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If the…</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/2.-a-rectangle-abcd-is-contained-in-the-unit-circle-circle-centered-at-the-origin-with-radius-1.-sup/32e2ac1e-36b9-4c5a-ac2a-03a484ff428d" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: 2. A rectangle ABCD is contained in the unit circle (circle centered at the origin with radius 1).…</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/from-her-home-karina-travels-5-miles-at-a-bearing-of-30-east-of-north-to-get-to-the-supermarket.-she/7abae7fc-c39f-4e63-aa12-65f2ecf88a47" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: From her home, Karina travels 5 miles at a bearing of 30° east of north to get to the supermarket.…</a></div><div class="styles__SingleQnaZippyContainer-sc-1935bbd8-2 NNa-DR"><a href="/questions-and-answers/kasia-plants-her-watermelons-in-rows.-kasias-watermelon-field-has-a-perimeter-of-7113-yards-and-is-1/8080c2a3-9fef-4241-a952-c65c62c3bda7" class="BaseAnchorElementWithDisabledState__AnchorWithDisabledState-sc-4e9e1c9d-0 kMhnvm styles__SingleQnaZippyQuestionText-sc-1935bbd8-3 lVJhp">Q: Kasia plants her watermelons in rows. 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Further, assume that he can…</a></div></div></div></div></div><div class="styles__AppLayoutWrapperWithPadding-sc-ef9b07f2-7 PageSectionContainerWithSelfSpacing-sc-8b2e7c31-0 fzyfgw eEPzVE"><div class="styles__MarketingBannerContainer-sc-9a3058c5-0 gVqHey"><div class="styles__MarketingBannerText-sc-9a3058c5-1 lmFRHw"><div role="heading" aria-level="2" class="styles__MarketingBannerHeader-sc-9a3058c5-2 hvPiyU">Need more help with Calculus?</div><div class="styles__MarketingBannerSubHeader-sc-9a3058c5-3 erXzbd">Ask one of our experts</div></div><button class="SegmentAnalyticsButton__ButtonWithNoStyle-sc-bd08475e-0 jZeIgm PrimaryButton-sc-edbc2538-0 bLpLVe">ASK A CALCULUS QUESTION</button></div></div><div class="styles__AppLayoutWrapperWithPadding-sc-ef9b07f2-7 PageSectionContainerWithSelfSpacing-sc-8b2e7c31-0 fzyfgw grWDJk"><h2 class="styles__PageSectionHeader-sc-ec4c9372-2 jnFfMw">Explore Calculus Concepts</h2><p class="styles__PageSectionSubHeader-sc-ec4c9372-3 BjIQV">Calculus got you stumped? We can help you out! Check out our explainers with topics ranging from arithmetic sequences to z-scores. </p><div class="DisplayOnThresholdCss__DivDisplayContainer-sc-ad524cbe-0 bNInGa"><div class="styles__ConceptExplainerMainWrapper-sc-ec4c9372-0 eiNDcs"><div class="styles__ConceptExplainerWrapper-sc-ec4c9372-1 hvtyPS"><div class="styles__ConceptExplainerLevelWrapper-sc-ec4c9372-4 cIIWFR"><div class="styles__ConceptExplainerLevelLeftSection-sc-ec4c9372-5 djbHQO"><button class="SegmentAnalyticsButton__ButtonWithNoStyle-sc-bd08475e-0 jZeIgm UnstyledButton-sc-362851bc-0 styles__ConceptExplainerLevelOneButton-sc-ec4c9372-6 ibfVkD kkMnLW"><div class="styles__ConceptExplainerLevelOneInnerWrapper-sc-ec4c9372-9 hrsdQs"><div class="styles__ConceptExplainerLevelOneHeading-sc-ec4c9372-7 cpehHi">Advanced Calculus</div><div class="styles__ConceptExplainerLevelOneDescription-sc-ec4c9372-8 iDdSUE">Advanced calculus is a more advanced version of multivariable calculus. Advanced topics in calculus include multivariable limits, partial derivatives, inverse and implicit function theorems, double and triple integrals, vector calculus, divergence theorem and stokes theorem, advanced series, and power series.</div></div><i aria-hidden="true" class="Icon__IconStyledComponent-sc-4e7587c2-0 diHyLl styles__ConceptLevelOneForward-sc-ec4c9372-10 crpYza material-icons">chevron_right</i></button><button class="SegmentAnalyticsButton__ButtonWithNoStyle-sc-bd08475e-0 jZeIgm UnstyledButton-sc-362851bc-0 styles__ConceptExplainerLevelOneButton-sc-ec4c9372-6 ibfVkD kkMnLW"><div class="styles__ConceptExplainerLevelOneInnerWrapper-sc-ec4c9372-9 hrsdQs"><div class="styles__ConceptExplainerLevelOneHeading-sc-ec4c9372-7 cpehHi">Differentiation</div><div class="styles__ConceptExplainerLevelOneDescription-sc-ec4c9372-8 iDdSUE">Differentiation is one of the major concepts of calculus apart from integration. It is the derivative or rate of change of a function with respect to the independent variable.</div></div><i aria-hidden="true" class="Icon__IconStyledComponent-sc-4e7587c2-0 diHyLl styles__ConceptLevelOneForward-sc-ec4c9372-10 crpYza material-icons">chevron_right</i></button><button class="SegmentAnalyticsButton__ButtonWithNoStyle-sc-bd08475e-0 jZeIgm UnstyledButton-sc-362851bc-0 styles__ConceptExplainerLevelOneButton-sc-ec4c9372-6 ibfVkD kkMnLW"><div class="styles__ConceptExplainerLevelOneInnerWrapper-sc-ec4c9372-9 hrsdQs"><div class="styles__ConceptExplainerLevelOneHeading-sc-ec4c9372-7 cpehHi">Fundamentals of Calculus</div><div class="styles__ConceptExplainerLevelOneDescription-sc-ec4c9372-8 iDdSUE">The fundamentals of calculus include topics like limits, differential calculus, integral calculus, multivariable calculus. The two primary operations in calculus are differentiation and integration. </div></div><i aria-hidden="true" class="Icon__IconStyledComponent-sc-4e7587c2-0 diHyLl styles__ConceptLevelOneForward-sc-ec4c9372-10 crpYza material-icons">chevron_right</i></button><button class="SegmentAnalyticsButton__ButtonWithNoStyle-sc-bd08475e-0 jZeIgm UnstyledButton-sc-362851bc-0 styles__ConceptExplainerLevelOneButton-sc-ec4c9372-6 ibfVkD kkMnLW"><div class="styles__ConceptExplainerLevelOneInnerWrapper-sc-ec4c9372-9 hrsdQs"><div class="styles__ConceptExplainerLevelOneHeading-sc-ec4c9372-7 cpehHi">Integration</div><div class="styles__ConceptExplainerLevelOneDescription-sc-ec4c9372-8 iDdSUE">Integration is one of the two major calculus topics along with differentiation. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.</div></div><i aria-hidden="true" class="Icon__IconStyledComponent-sc-4e7587c2-0 diHyLl styles__ConceptLevelOneForward-sc-ec4c9372-10 crpYza material-icons">chevron_right</i></button><button class="SegmentAnalyticsButton__ButtonWithNoStyle-sc-bd08475e-0 jZeIgm UnstyledButton-sc-362851bc-0 styles__ConceptExplainerLevelOneButton-sc-ec4c9372-6 ibfVkD kkMnLW"><div class="styles__ConceptExplainerLevelOneInnerWrapper-sc-ec4c9372-9 hrsdQs"><div class="styles__ConceptExplainerLevelOneHeading-sc-ec4c9372-7 cpehHi">Multivariate Calculus</div><div class="styles__ConceptExplainerLevelOneDescription-sc-ec4c9372-8 iDdSUE">Multivariable calculus is study of calculus in one variable to multiple variables. The typical operations involved are limits and continuity, partial differentiation, and multiple integration. Major applications are in regression analysis, in finance by quantitative analyst, in engineering and social science to study and build high dimensional systems and exhibit deterministic nature.</div></div><i aria-hidden="true" class="Icon__IconStyledComponent-sc-4e7587c2-0 diHyLl styles__ConceptLevelOneForward-sc-ec4c9372-10 crpYza material-icons">chevron_right</i></button><button class="SegmentAnalyticsButton__ButtonWithNoStyle-sc-bd08475e-0 jZeIgm UnstyledButton-sc-362851bc-0 styles__ConceptExplainerLevelOneButton-sc-ec4c9372-6 ibfVkD kkMnLW"><div class="styles__ConceptExplainerLevelOneInnerWrapper-sc-ec4c9372-9 hrsdQs"><div class="styles__ConceptExplainerLevelOneHeading-sc-ec4c9372-7 cpehHi">Real Analysis</div><div class="styles__ConceptExplainerLevelOneDescription-sc-ec4c9372-8 iDdSUE">Real analysis is a branch of mathematical analysis that studies about real numbers, sequences and series of real numbers and real functions. The concepts of real analysis underpin calculus and its application to it. It also includes concepts of limits, convergence, continuity, and measure theory.</div></div><i aria-hidden="true" class="Icon__IconStyledComponent-sc-4e7587c2-0 diHyLl styles__ConceptLevelOneForward-sc-ec4c9372-10 crpYza material-icons">chevron_right</i></button><button class="SegmentAnalyticsButton__ButtonWithNoStyle-sc-bd08475e-0 jZeIgm UnstyledButton-sc-362851bc-0 styles__ConceptExplainerLevelOneButton-sc-ec4c9372-6 ibfVkD biIuc"><div class="styles__ConceptExplainerLevelOneInnerWrapper-sc-ec4c9372-9 hrsdQs"><div class="styles__ConceptExplainerLevelOneHeading-sc-ec4c9372-7 cpehHi">Vector Calculus</div><div class="styles__ConceptExplainerLevelOneDescription-sc-ec4c9372-8 hgPlMy">Vector calculus also called as vector analysis deals with differentiation and integration of the vector field in three-dimensional Euclidean space. It deals with quantities that have both magnitude and direction.</div></div><i aria-hidden="true" class="Icon__IconStyledComponent-sc-4e7587c2-0 diHyLl styles__ConceptLevelOneForward-sc-ec4c9372-10 crpYza material-icons">chevron_right</i></button></div><img src="/static/verticleCEdivider.svg" alt="ce divider" class="styles__VerticleDivider-sc-ec4c9372-22 cYLUFz"/></div></div></div></div><div class="DisplayOnThresholdCss__DivDisplayContainer-sc-ad524cbe-0 fhOrnX"><div class="styles__ConceptExplainerWrapper-sc-96c663ae-0 goKCCI"><div class="styles__ConceptExplainerInnerWrapper-sc-96c663ae-4 kkoOMB"><div class="styles__ConceptExplainerContainer-sc-96c663ae-1 drtKUi"><div class="styles__ConceptExplainerLevelOneTitle-sc-96c663ae-2 iFIsiG">Advanced Calculus</div><i aria-hidden="true" class="Icon__IconStyledComponent-sc-4e7587c2-0 diHyLl styles__ConceptExplainerLevelOneIcon-sc-96c663ae-3 hUpPGt material-icons">expand_more</i></div><div class="styles__ConceptExplainerLevelOneDescription-sc-96c663ae-5 gvUodM">Advanced calculus is a more advanced version of multivariable calculus. Advanced topics in calculus include multivariable limits, partial derivatives, inverse and implicit function theorems, double and triple integrals, vector calculus, divergence theorem and stokes theorem, advanced series, and power series.</div></div><div class="styles__ConceptExplainerInnerWrapper-sc-96c663ae-4 kkoOMB"><div class="styles__ConceptExplainerContainer-sc-96c663ae-1 drtKUi"><div class="styles__ConceptExplainerLevelOneTitle-sc-96c663ae-2 iFIsiG">Differentiation</div><i aria-hidden="true" class="Icon__IconStyledComponent-sc-4e7587c2-0 diHyLl styles__ConceptExplainerLevelOneIcon-sc-96c663ae-3 hUpPGt material-icons">expand_more</i></div><div class="styles__ConceptExplainerLevelOneDescription-sc-96c663ae-5 gvUodM">Differentiation is one of the major concepts of calculus apart from integration. It is the derivative or rate of change of a function with respect to the independent variable.</div></div><div class="styles__ConceptExplainerInnerWrapper-sc-96c663ae-4 kkoOMB"><div class="styles__ConceptExplainerContainer-sc-96c663ae-1 drtKUi"><div class="styles__ConceptExplainerLevelOneTitle-sc-96c663ae-2 iFIsiG">Fundamentals of Calculus</div><i aria-hidden="true" class="Icon__IconStyledComponent-sc-4e7587c2-0 diHyLl styles__ConceptExplainerLevelOneIcon-sc-96c663ae-3 hUpPGt material-icons">expand_more</i></div><div class="styles__ConceptExplainerLevelOneDescription-sc-96c663ae-5 gvUodM">The fundamentals of calculus include topics like limits, differential calculus, integral calculus, multivariable calculus. The two primary operations in calculus are differentiation and integration. </div></div><div class="styles__ConceptExplainerInnerWrapper-sc-96c663ae-4 kkoOMB"><div class="styles__ConceptExplainerContainer-sc-96c663ae-1 drtKUi"><div class="styles__ConceptExplainerLevelOneTitle-sc-96c663ae-2 iFIsiG">Integration</div><i aria-hidden="true" class="Icon__IconStyledComponent-sc-4e7587c2-0 diHyLl styles__ConceptExplainerLevelOneIcon-sc-96c663ae-3 hUpPGt material-icons">expand_more</i></div><div class="styles__ConceptExplainerLevelOneDescription-sc-96c663ae-5 gvUodM">Integration is one of the two major calculus topics along with differentiation. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.</div></div><div class="styles__ConceptExplainerInnerWrapper-sc-96c663ae-4 kkoOMB"><div class="styles__ConceptExplainerContainer-sc-96c663ae-1 drtKUi"><div class="styles__ConceptExplainerLevelOneTitle-sc-96c663ae-2 iFIsiG">Multivariate Calculus</div><i aria-hidden="true" class="Icon__IconStyledComponent-sc-4e7587c2-0 diHyLl styles__ConceptExplainerLevelOneIcon-sc-96c663ae-3 hUpPGt material-icons">expand_more</i></div><div class="styles__ConceptExplainerLevelOneDescription-sc-96c663ae-5 gvUodM">Multivariable calculus is study of calculus in one variable to multiple variables. The typical operations involved are limits and continuity, partial differentiation, and multiple integration. Major applications are in regression analysis, in finance by quantitative analyst, in engineering and social science to study and build high dimensional systems and exhibit deterministic nature.</div></div><div class="styles__ConceptExplainerInnerWrapper-sc-96c663ae-4 kkoOMB"><div class="styles__ConceptExplainerContainer-sc-96c663ae-1 drtKUi"><div class="styles__ConceptExplainerLevelOneTitle-sc-96c663ae-2 iFIsiG">Real Analysis</div><i aria-hidden="true" class="Icon__IconStyledComponent-sc-4e7587c2-0 diHyLl styles__ConceptExplainerLevelOneIcon-sc-96c663ae-3 hUpPGt material-icons">expand_more</i></div><div class="styles__ConceptExplainerLevelOneDescription-sc-96c663ae-5 gvUodM">Real analysis is a branch of mathematical analysis that studies about real numbers, sequences and series of real numbers and real functions. The concepts of real analysis underpin calculus and its application to it. It also includes concepts of limits, convergence, continuity, and measure theory.</div></div><div class="styles__ConceptExplainerInnerWrapper-sc-96c663ae-4 kkoOMB"><div class="styles__ConceptExplainerContainer-sc-96c663ae-1 drtKUi"><div class="styles__ConceptExplainerLevelOneTitle-sc-96c663ae-2 iFIsiG">Vector Calculus</div><i aria-hidden="true" class="Icon__IconStyledComponent-sc-4e7587c2-0 diHyLl styles__ConceptExplainerLevelOneIcon-sc-96c663ae-3 hUpPGt material-icons">expand_more</i></div><div class="styles__ConceptExplainerLevelOneDescription-sc-96c663ae-5 gvUodM">Vector calculus also called as vector analysis deals with differentiation and integration of the vector field in three-dimensional Euclidean space. It deals with quantities that have both magnitude and direction.</div></div></div></div></div><div class="styles__AppLayoutWrapperWithPadding-sc-ef9b07f2-7 PageSectionContainerWithSelfSpacing-sc-8b2e7c31-0 fzyfgw grWDJk"><a href="/subject/math/calculus/textbook-answers" class="styles__TextbooksBySubjectLink-sc-692baedd-0 doQewG"><h2 class="styles__TextbooksBySubjectLinkText-sc-692baedd-1 fMbnsS">Explore Calculus Textbooks with Answers</h2></a></div><div class="styles__AppLayoutWrapperWithPadding-sc-ef9b07f2-7 PageSectionContainerWithSelfSpacing-sc-8b2e7c31-0 fzyfgw grWDJk"><div class="styles__HeaderWithLinkContainer-sc-4f8de972-0 hbkJXS"><div class="styles__TitleContainer-sc-4f8de972-1 gNOgov"><h3 class="styles__TitleTextH3-sc-4f8de972-4 kEXSeg">What are students saying about our homework solutions?</h3></div></div><div class="styles__TestimonialsList-sc-f0c7f5c3-0 hLkUJx"><div class="styles__TestimonialsListItem-sc-f0c7f5c3-1 cmPTOT"><div class="styles__TestimonialQuote-sc-f0c7f5c3-2 iwFnLN">"I like that it gives clear and easy information"</div><div class="styles__TestimonialName-sc-f0c7f5c3-3 giefCZ">Kennan B. 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The maximum value of g(x)…","slug":"find-the-function-gx-satisfying-the-two-conditions-1.-gx-512x-2.-the-maximum-value-of-gx-is-5.-9x","computed":{"hrefAndAs":{"href":"/my-questions?questionId=6cda46f9-7a0e-4210-a7ea-621b1c48e217","as":"/questions-and-answers/find-the-function-gx-satisfying-the-two-conditions-1.-gx-512x-2.-the-maximum-value-of-gx-is-5.-9x/6cda46f9-7a0e-4210-a7ea-621b1c48e217"}}},{"answer":"Smaller length = 2mLarger length = 9mVolume of the smaller cylinder = 24 pi m3","id":"da8da323-2fb7-46e4-8eab-017d14905cd1","questionText":"Two cylinders are given.\nThe larger cylinder is a dilation of the smaller cylinder.\n\nPart A:…","slug":"two-cylinders-are-given.-the-larger-cylinder-is-a-dilation-of-the-smaller-cylinder.-part-a-determine","computed":{"hrefAndAs":{"href":"/my-questions?questionId=da8da323-2fb7-46e4-8eab-017d14905cd1","as":"/questions-and-answers/two-cylinders-are-given.-the-larger-cylinder-is-a-dilation-of-the-smaller-cylinder.-part-a-determine/da8da323-2fb7-46e4-8eab-017d14905cd1"}}},{"answer":"","id":"6e35e999-d11d-420e-9b51-d46c9cfd04dd","questionText":"7. Consider dropping a basketball from a height of six feet while standing on a flat surface. If\nthe…","slug":"7.-consider-dropping-a-basketball-from-a-height-of-six-feet-while-standing-on-a-flat-surface.-if-the","computed":{"hrefAndAs":{"href":"/my-questions?questionId=6e35e999-d11d-420e-9b51-d46c9cfd04dd","as":"/questions-and-answers/7.-consider-dropping-a-basketball-from-a-height-of-six-feet-while-standing-on-a-flat-surface.-if-the/6e35e999-d11d-420e-9b51-d46c9cfd04dd"}}},{"answer":"A rectangle ABCD is contained in the unit circle (circle centered at the origin with radius 1).…","id":"32e2ac1e-36b9-4c5a-ac2a-03a484ff428d","questionText":"2. A rectangle ABCD is contained in the unit circle (circle centered at the origin with radius\n1).…","slug":"2.-a-rectangle-abcd-is-contained-in-the-unit-circle-circle-centered-at-the-origin-with-radius-1.-sup","computed":{"hrefAndAs":{"href":"/my-questions?questionId=32e2ac1e-36b9-4c5a-ac2a-03a484ff428d","as":"/questions-and-answers/2.-a-rectangle-abcd-is-contained-in-the-unit-circle-circle-centered-at-the-origin-with-radius-1.-sup/32e2ac1e-36b9-4c5a-ac2a-03a484ff428d"}}},{"answer":"From her home, Karina travels 5 miles at a bearing of 30° east of north to get to the…","id":"7abae7fc-c39f-4e63-aa12-65f2ecf88a47","questionText":"From her home, Karina travels 5 miles at a bearing of 30° east of north to get to the supermarket.…","slug":"from-her-home-karina-travels-5-miles-at-a-bearing-of-30-east-of-north-to-get-to-the-supermarket.-she","computed":{"hrefAndAs":{"href":"/my-questions?questionId=7abae7fc-c39f-4e63-aa12-65f2ecf88a47","as":"/questions-and-answers/from-her-home-karina-travels-5-miles-at-a-bearing-of-30-east-of-north-to-get-to-the-supermarket.-she/7abae7fc-c39f-4e63-aa12-65f2ecf88a47"}}},{"answer":"The perimeter of the Kasia's watermelon field is :","id":"8080c2a3-9fef-4241-a952-c65c62c3bda7","questionText":"Kasia plants her watermelons in rows. Kasia's watermelon field has a perimeter of 71(1)/(3) yards…","slug":"kasia-plants-her-watermelons-in-rows.-kasias-watermelon-field-has-a-perimeter-of-7113-yards-and-is-1","computed":{"hrefAndAs":{"href":"/my-questions?questionId=8080c2a3-9fef-4241-a952-c65c62c3bda7","as":"/questions-and-answers/kasia-plants-her-watermelons-in-rows.-kasias-watermelon-field-has-a-perimeter-of-7113-yards-and-is-1/8080c2a3-9fef-4241-a952-c65c62c3bda7"}}},{"answer":"The objective of the first part of the question is to explain why undercutting competitors is a poor…","id":"fc12d8d1-ca58-4d4f-b1ba-de8f04e33066","questionText":"Week 6 Assignment:\nPricing Too Low\nOverview: One of the most common errors new food service…","slug":"week-6-assignment-pricing-too-low-overview-one-of-the-most-common-errors-new-food-service-operators-","computed":{"hrefAndAs":{"href":"/my-questions?questionId=fc12d8d1-ca58-4d4f-b1ba-de8f04e33066","as":"/questions-and-answers/week-6-assignment-pricing-too-low-overview-one-of-the-most-common-errors-new-food-service-operators-/fc12d8d1-ca58-4d4f-b1ba-de8f04e33066"}}},{"answer":"","id":"def3f232-e429-4cf9-8e80-e84e08061c2c","questionText":"R\nA region is bounded by two concentric circles, as shown by the shaded region in the figure above.…","slug":"r-a-region-is-bounded-by-two-concentric-circles-as-shown-by-the-shaded-region-in-the-figure-above.-t","computed":{"hrefAndAs":{"href":"/my-questions?questionId=def3f232-e429-4cf9-8e80-e84e08061c2c","as":"/questions-and-answers/r-a-region-is-bounded-by-two-concentric-circles-as-shown-by-the-shaded-region-in-the-figure-above.-t/def3f232-e429-4cf9-8e80-e84e08061c2c"}}},{"answer":"","id":"035b2524-90ca-480b-a206-c3ba938dfe7b","questionText":"The graph of the derivative of f is shown below:\n-y-5\n4\n-3\n-2-\n-1-\n0\n1\n2\nf'(x)\n3\n4\nf', the…","slug":"the-graph-of-the-derivative-of-f-is-shown-below-y-5-4-3-2-1-0-1-2-fx-3-4-f-the-derivative-of-f-is-sh","computed":{"hrefAndAs":{"href":"/my-questions?questionId=035b2524-90ca-480b-a206-c3ba938dfe7b","as":"/questions-and-answers/the-graph-of-the-derivative-of-f-is-shown-below-y-5-4-3-2-1-0-1-2-fx-3-4-f-the-derivative-of-f-is-sh/035b2524-90ca-480b-a206-c3ba938dfe7b"}}},{"answer":"The given table time (sec)012345678velocity (feet/sec)2610111417182123","id":"bf1155cb-e250-434a-adf9-3c5dcb65b38c","questionText":"(Section 4.3) Your task is to estimate how far an object traveled during the time interval 0 ≤t≤ 8,…","slug":"section-4.3-your-task-is-to-estimate-how-far-an-object-traveled-during-the-time-interval-0-t-8-but-y","computed":{"hrefAndAs":{"href":"/my-questions?questionId=bf1155cb-e250-434a-adf9-3c5dcb65b38c","as":"/questions-and-answers/section-4.3-your-task-is-to-estimate-how-far-an-object-traveled-during-the-time-interval-0-t-8-but-y/bf1155cb-e250-434a-adf9-3c5dcb65b38c"}}},{"answer":"This is Question of calculus.Here logerithmic equation function is given.We have to summation of…","id":"2ef4c7ef-8da8-4326-8d98-c6a801a944dd","questionText":"Let f (x) = log2(x) + 2 and g(x) = log2(x3) – 6.\n\nPart A: If h(x) = f (x) + g(x), solve for h(x) in…","slug":"let-f-x-log2x-2-and-gx-log2x3-6.-part-a-if-hx-f-x-gx-solve-for-hx-in-simplest-form.-part-b-determine","computed":{"hrefAndAs":{"href":"/my-questions?questionId=2ef4c7ef-8da8-4326-8d98-c6a801a944dd","as":"/questions-and-answers/let-f-x-log2x-2-and-gx-log2x3-6.-part-a-if-hx-f-x-gx-solve-for-hx-in-simplest-form.-part-b-determine/2ef4c7ef-8da8-4326-8d98-c6a801a944dd"}}},{"answer":"1. Define Variables:Distance from lighthouse to shore (radius): d=5kmAngular speed of rotation…","id":"c357fe44-0176-4100-bd47-3588841b6021","questionText":"Calculus\nA lighthouse that is 5 km from the shore is rotating at 2 revolutions\nper minute.\nCalculate…","slug":"calculus-a-lighthouse-that-is-5-km-from-the-shore-is-rotating-at-2-revolutions-per-minute.-calculate","computed":{"hrefAndAs":{"href":"/my-questions?questionId=c357fe44-0176-4100-bd47-3588841b6021","as":"/questions-and-answers/calculus-a-lighthouse-that-is-5-km-from-the-shore-is-rotating-at-2-revolutions-per-minute.-calculate/c357fe44-0176-4100-bd47-3588841b6021"}}},{"answer":"","id":"d5410f06-0a11-46e9-894e-81158bd04eb2","questionText":"Let f be the function given by f (x) x³ − 6x² + p, where p is an arbitrary\nconstant. Write an…","slug":"let-f-be-the-function-given-by-f-x-x-6x-p-where-p-is-an-arbitrary-constant.-write-an-expression-for-","computed":{"hrefAndAs":{"href":"/my-questions?questionId=d5410f06-0a11-46e9-894e-81158bd04eb2","as":"/questions-and-answers/let-f-be-the-function-given-by-f-x-x-6x-p-where-p-is-an-arbitrary-constant.-write-an-expression-for-/d5410f06-0a11-46e9-894e-81158bd04eb2"}}},{"answer":"","id":"d56a9ee3-4fd4-433c-9182-78820a976950","questionText":"Complete the description of the piecewise function graphed below.\nSto\n{\nf(x) = {\n5\n-6-5-4-3-2-1\n{\n3…","slug":"complete-the-description-of-the-piecewise-function-graphed-below.-sto-fx-5-6-5-4-3-2-1-3-2-2-3-s-1-2","computed":{"hrefAndAs":{"href":"/my-questions?questionId=d56a9ee3-4fd4-433c-9182-78820a976950","as":"/questions-and-answers/complete-the-description-of-the-piecewise-function-graphed-below.-sto-fx-5-6-5-4-3-2-1-3-2-2-3-s-1-2/d56a9ee3-4fd4-433c-9182-78820a976950"}}},{"answer":"Note:-Since you asked multiple questions, according to our policy we can answer only first question…","id":"f2078713-0b95-4f2b-9d2a-227c0098a24b","questionText":"13. Let g be a polynomial function whose graph has a point of inflection at x = 3. Which of the…","slug":"13.-let-g-be-a-polynomial-function-whose-graph-has-a-point-of-inflection-at-x-3.-which-of-the-follow","computed":{"hrefAndAs":{"href":"/my-questions?questionId=f2078713-0b95-4f2b-9d2a-227c0098a24b","as":"/questions-and-answers/13.-let-g-be-a-polynomial-function-whose-graph-has-a-point-of-inflection-at-x-3.-which-of-the-follow/f2078713-0b95-4f2b-9d2a-227c0098a24b"}}},{"answer":"","id":"823b043d-5cbd-4013-95ac-17f2fc7bf585","questionText":"Let f(x, y, z)=\nexy sin(x+y) Calculate fxxz·\nz²+1","slug":"let-fx-y-z-exy-sinxy-calculate-fxxz-z1","computed":{"hrefAndAs":{"href":"/my-questions?questionId=823b043d-5cbd-4013-95ac-17f2fc7bf585","as":"/questions-and-answers/let-fx-y-z-exy-sinxy-calculate-fxxz-z1/823b043d-5cbd-4013-95ac-17f2fc7bf585"}}},{"answer":"Given: To Find: To determine the bacteria population after 5 days.","id":"bd56a37b-eb88-463b-8caf-326f750ec45c","questionText":"Having completed your first few tasks, you move now to a portion of the lab where important bacteria…","slug":"having-completed-your-first-few-tasks-you-move-now-to-a-portion-of-the-lab-where-important-bacteria-","computed":{"hrefAndAs":{"href":"/my-questions?questionId=bd56a37b-eb88-463b-8caf-326f750ec45c","as":"/questions-and-answers/having-completed-your-first-few-tasks-you-move-now-to-a-portion-of-the-lab-where-important-bacteria-/bd56a37b-eb88-463b-8caf-326f750ec45c"}}},{"answer":"Let suppose Demand Function is denoted by N Let suppose price is denoted by P Equation of line…","id":"c58edf7c-c49b-4ee0-bef0-758bc36c895f","questionText":"Suppose the demand for Colin's kidney pies is linear in the price P. Further, assume that he can…","slug":"suppose-the-demand-for-colins-kidney-pies-is-linear-in-the-price-p.-further-assume-that-he-can-sell-","computed":{"hrefAndAs":{"href":"/my-questions?questionId=c58edf7c-c49b-4ee0-bef0-758bc36c895f","as":"/questions-and-answers/suppose-the-demand-for-colins-kidney-pies-is-linear-in-the-price-p.-further-assume-that-he-can-sell-/c58edf7c-c49b-4ee0-bef0-758bc36c895f"}}}],"subSubjectRecentZippies":[{"answer":"Ans page 1:Ans page 2:Ans page 3:","id":"aef1374a-4b10-4763-94d4-05bc0e93b6b1","questionText":"Show all steps. Correct answer is 0.","slug":"find-the-value-of-integral-3-x-y-zds-where-c-is-parameterized-by-rt-42-cos2t-9-sin2t-7-cos2t-for-0-t","computed":{"hrefAndAs":{"href":"/my-questions?questionId=aef1374a-4b10-4763-94d4-05bc0e93b6b1","as":"/questions-and-answers/find-the-value-of-integral-3-x-y-zds-where-c-is-parameterized-by-rt-42-cos2t-9-sin2t-7-cos2t-for-0-t/aef1374a-4b10-4763-94d4-05bc0e93b6b1"}}},{"answer":"FEEL FREE TO ASK FOR CLARIFICATIONS","id":"dde6e4a6-d424-49c0-9d24-def5f5e34898","questionText":"Show all steps. Correct answer is 18722.15468369","slug":"22-y2ds-where-c-is-parmeterized-by-rt-3-cos5t-3-sin5t-4t-for-0-lesst-6.-round-your-answer-to-four-de","computed":{"hrefAndAs":{"href":"/my-questions?questionId=dde6e4a6-d424-49c0-9d24-def5f5e34898","as":"/questions-and-answers/22-y2ds-where-c-is-parmeterized-by-rt-3-cos5t-3-sin5t-4t-for-0-lesst-6.-round-your-answer-to-four-de/dde6e4a6-d424-49c0-9d24-def5f5e34898"}}},{"answer":"Step 1: Step 2: Step 3: Step 4:","id":"3d19616e-8a62-40ec-94da-47050156107e","questionText":"Find the Laplace transform\nL-1 { 1 / (s2 + 1) (s2 + 16) }","slug":"find-the-laplace-transform-l-1-1-s-2-1-s-2-16","computed":{"hrefAndAs":{"href":"/my-questions?questionId=3d19616e-8a62-40ec-94da-47050156107e","as":"/questions-and-answers/find-the-laplace-transform-l-1-1-s-2-1-s-2-16/3d19616e-8a62-40ec-94da-47050156107e"}}},{"answer":"GIVEN : STEP : 1 STEP : 2 FINAL STEP : ","id":"5eec982e-6bf4-4a5f-85bf-39e8ab275b20","questionText":"Find (f^-1)'(1) if f(x )= x/2+sin^2(x) for 0\u0026lt;x\u0026lt;pi/2","slug":"find-f-11-if-fx-x2sin2x-for-0andltxandltpi2","computed":{"hrefAndAs":{"href":"/my-questions?questionId=5eec982e-6bf4-4a5f-85bf-39e8ab275b20","as":"/questions-and-answers/find-f-11-if-fx-x2sin2x-for-0andltxandltpi2/5eec982e-6bf4-4a5f-85bf-39e8ab275b20"}}},{"answer":"Explanation: f'(x) \u0026gt; 0 for all x: • This means the function is always increasing. f''(x) \u0026gt;…","id":"b4fc1284-bf00-416b-a293-930de37df33a","questionText":"Sketch the graph of a function that satisfies all of the given conditions.\n\nf ′(x) \u0026gt; 0 for all x,…","slug":"sketch-the-graph-of-a-function-that-satisfies-all-of-the-given-conditions.-fx-greater-0-for-all-x-fx","computed":{"hrefAndAs":{"href":"/my-questions?questionId=b4fc1284-bf00-416b-a293-930de37df33a","as":"/questions-and-answers/sketch-the-graph-of-a-function-that-satisfies-all-of-the-given-conditions.-fx-greater-0-for-all-x-fx/b4fc1284-bf00-416b-a293-930de37df33a"}}},{"answer":"Step 1: Step 2: Step 3: Step 4:Step 5:","id":"f4b5a7b9-c39e-4324-ad67-4a44cecf1026","questionText":"Let f(x) = - 2x^3 + 15x^2 - 24\nx + 5 be a given function then find,\nA) all the intervals at which…","slug":"let-fx-2x3-15x2-24-x-5-be-a-given-function-then-find-a-all-the-intervals-at-which-the-functions-is-i","computed":{"hrefAndAs":{"href":"/my-questions?questionId=f4b5a7b9-c39e-4324-ad67-4a44cecf1026","as":"/questions-and-answers/let-fx-2x3-15x2-24-x-5-be-a-given-function-then-find-a-all-the-intervals-at-which-the-functions-is-i/f4b5a7b9-c39e-4324-ad67-4a44cecf1026"}}},{"answer":"Given:y=(x−3)1/3+2 Step 1: Setting Up the Integral Rotated around the (x)-axis the Shell Method…","id":"b38b23d6-ad3d-4ebf-a44b-4c0e3661799a","questionText":"I'm having issue in this problems.","slug":"method-of-al-shells-t-rning-resources-tails-use-the-shell-method-to-calculate-the-volume-of-rotation","computed":{"hrefAndAs":{"href":"/my-questions?questionId=b38b23d6-ad3d-4ebf-a44b-4c0e3661799a","as":"/questions-and-answers/method-of-al-shells-t-rning-resources-tails-use-the-shell-method-to-calculate-the-volume-of-rotation/b38b23d6-ad3d-4ebf-a44b-4c0e3661799a"}}},{"answer":"Step 1: Given-The initial position of the particle is r(0)=(0,0,0) (Particle starts from rest.)The…","id":"47c322d7-c92e-466d-8244-cca8072bccb2","questionText":"A particle starts at the origin with initial velocity v (0) = (1, −1, 3). Its acceleration is a (t)…","slug":"a-particle-starts-at-the-origin-with-initial-velocity-v-0-1-1-3.-its-acceleration-is-a-t-6t-12t-6t.-","computed":{"hrefAndAs":{"href":"/my-questions?questionId=47c322d7-c92e-466d-8244-cca8072bccb2","as":"/questions-and-answers/a-particle-starts-at-the-origin-with-initial-velocity-v-0-1-1-3.-its-acceleration-is-a-t-6t-12t-6t.-/47c322d7-c92e-466d-8244-cca8072bccb2"}}},{"answer":"1:","id":"1b934bfd-480f-435b-8ff1-1d01a78c12fe","questionText":"A ball is thrown at an angle of 45 degrees to the ground. If the ball lands 50 m away, what was the…","slug":"a-ball-is-thrown-at-an-angle-of-45-degrees-to-the-ground.-if-the-ball-lands-50-m-away-what-was-the-i","computed":{"hrefAndAs":{"href":"/my-questions?questionId=1b934bfd-480f-435b-8ff1-1d01a78c12fe","as":"/questions-and-answers/a-ball-is-thrown-at-an-angle-of-45-degrees-to-the-ground.-if-the-ball-lands-50-m-away-what-was-the-i/1b934bfd-480f-435b-8ff1-1d01a78c12fe"}}},{"answer":"","id":"c95ed677-9673-467f-9cbb-ac4ba2fe1de4","questionText":"Consider the curve r (t) = (sin³ (t), cos³ (t), sin² (t)) for 0 ≤ t≤ π/2. Compute the following…","slug":"consider-the-curve-r-t-sin-t-cos-t-sin-t-for-0-t-p2.-compute-the-following-quantities-at-the-point-t","computed":{"hrefAndAs":{"href":"/my-questions?questionId=c95ed677-9673-467f-9cbb-ac4ba2fe1de4","as":"/questions-and-answers/consider-the-curve-r-t-sin-t-cos-t-sin-t-for-0-t-p2.-compute-the-following-quantities-at-the-point-t/c95ed677-9673-467f-9cbb-ac4ba2fe1de4"}}},{"answer":"","id":"3fe32762-0e73-4752-98eb-9318bdcc1753","questionText":"Consider the curver (t) = (2t, t², In(t)). Starting at the point given by t = 1, I move eº + 2 units…","slug":"consider-the-curver-t-2t-t-int.-starting-at-the-point-given-by-t-1-i-move-eo-2-units-along-the-curve","computed":{"hrefAndAs":{"href":"/my-questions?questionId=3fe32762-0e73-4752-98eb-9318bdcc1753","as":"/questions-and-answers/consider-the-curver-t-2t-t-int.-starting-at-the-point-given-by-t-1-i-move-eo-2-units-along-the-curve/3fe32762-0e73-4752-98eb-9318bdcc1753"}}},{"answer":"","id":"decdd50d-3424-46cf-8ac9-ff00f7cc4048","questionText":"Which option below describes the tangent line to the curve r (t) = (cos(t), 3et, 3e¯\nSelect one:\n○…","slug":"which-option-below-describes-the-tangent-line-to-the-curve-r-t-cost-3et-3e-select-one-a.-x-t-y318t-z","computed":{"hrefAndAs":{"href":"/my-questions?questionId=decdd50d-3424-46cf-8ac9-ff00f7cc4048","as":"/questions-and-answers/which-option-below-describes-the-tangent-line-to-the-curve-r-t-cost-3et-3e-select-one-a.-x-t-y318t-z/decdd50d-3424-46cf-8ac9-ff00f7cc4048"}}},{"answer":"1: 2:","id":"b040350f-7e6d-4ab2-ba18-e969d3284aad","questionText":"Determine the value of r (3) = (xo, yo, zo) if r' (t) = (2,8t, −3t²) and r (0) = (1, 1, 0).\nx0\nУо\nZo","slug":"determine-the-value-of-r-3-xo-yo-zo-if-r-t-28t-3t-and-r-0-1-1-0.-x0-uo-zo","computed":{"hrefAndAs":{"href":"/my-questions?questionId=b040350f-7e6d-4ab2-ba18-e969d3284aad","as":"/questions-and-answers/determine-the-value-of-r-3-xo-yo-zo-if-r-t-28t-3t-and-r-0-1-1-0.-x0-uo-zo/b040350f-7e6d-4ab2-ba18-e969d3284aad"}}},{"answer":"Step 1:Curve A is a circle when projected to the xy plane. But it exhibits sinusoidal variation in…","id":"1bfa2597-526f-4741-bf1a-42024207f77d","questionText":"Match each curve to one of the vector functions below.\nPossible vector functions:\n1. r (t) =…","slug":"match-each-curve-to-one-of-the-vector-functions-below.-possible-vector-functions-1.-r-t-cost-sint-t-","computed":{"hrefAndAs":{"href":"/my-questions?questionId=1bfa2597-526f-4741-bf1a-42024207f77d","as":"/questions-and-answers/match-each-curve-to-one-of-the-vector-functions-below.-possible-vector-functions-1.-r-t-cost-sint-t-/1bfa2597-526f-4741-bf1a-42024207f77d"}}},{"answer":"I hope this is helpful.","id":"097a1ae9-320c-4773-953a-b9b5b10789a7","questionText":"Which of the vector functions below represents the curve of intersection of the following two…","slug":"which-of-the-vector-functions-below-represents-the-curve-of-intersection-of-the-following-two-surfac","computed":{"hrefAndAs":{"href":"/my-questions?questionId=097a1ae9-320c-4773-953a-b9b5b10789a7","as":"/questions-and-answers/which-of-the-vector-functions-below-represents-the-curve-of-intersection-of-the-following-two-surfac/097a1ae9-320c-4773-953a-b9b5b10789a7"}}},{"answer":"Step 1: Step 2: Step 3: Step 4:","id":"f5b78e68-014f-48fc-9d4c-9a76c5162d19","questionText":"Please help on all questions asked. Please show all work and steps. Please circle the final answer.","slug":"8.-find-the-critical-values-of-fx-x-2sin-x-on-the-interval-0-x-2l","computed":{"hrefAndAs":{"href":"/my-questions?questionId=f5b78e68-014f-48fc-9d4c-9a76c5162d19","as":"/questions-and-answers/8.-find-the-critical-values-of-fx-x-2sin-x-on-the-interval-0-x-2l/f5b78e68-014f-48fc-9d4c-9a76c5162d19"}}},{"answer":"r=−2 and r=−4","id":"d44ed751-1000-428e-883e-e5699c23c429","questionText":"Please help on all questions asked. Please show all work and steps. Please circle the final answer.","slug":"7.-for-what-values-of-r-does-the-function-y-ex-satisfy-the-differential-equation-y-6y-8y-0","computed":{"hrefAndAs":{"href":"/my-questions?questionId=d44ed751-1000-428e-883e-e5699c23c429","as":"/questions-and-answers/7.-for-what-values-of-r-does-the-function-y-ex-satisfy-the-differential-equation-y-6y-8y-0/d44ed751-1000-428e-883e-e5699c23c429"}}},{"answer":"To solve the problem, we need to determine the exact value of the slope of the tangent line to the…","id":"823e18cf-925e-4f8d-9084-1a885f7057ca","questionText":"Please help on all questions asked. Please show all work and steps. Please circle the final answer.","slug":"5.-determine-the-exact-value-no-decimals-of-the-slope-of-the-tangent-line-to-fx-2-sin-x-at-the-point","computed":{"hrefAndAs":{"href":"/my-questions?questionId=823e18cf-925e-4f8d-9084-1a885f7057ca","as":"/questions-and-answers/5.-determine-the-exact-value-no-decimals-of-the-slope-of-the-tangent-line-to-fx-2-sin-x-at-the-point/823e18cf-925e-4f8d-9084-1a885f7057ca"}}},{"answer":"","id":"b53ee746-8581-47f2-82f5-0bf3cf1a3196","questionText":"Please help on all questions asked. Please show all work and steps. Please circle the final answer.","slug":"4.-a-consider-the-function-y-sinx.-state-the-following-derivatives-i-y-ii-y-2nd-derivative-iii-y-3rd","computed":{"hrefAndAs":{"href":"/my-questions?questionId=b53ee746-8581-47f2-82f5-0bf3cf1a3196","as":"/questions-and-answers/4.-a-consider-the-function-y-sinx.-state-the-following-derivatives-i-y-ii-y-2nd-derivative-iii-y-3rd/b53ee746-8581-47f2-82f5-0bf3cf1a3196"}}},{"answer":"","id":"5fcc1cb1-8bd9-430c-87ca-1e1692ccf7b5","questionText":"Please help on all questions asked. Please show all work and steps. Please circle the final answer.","slug":"2.-show-using-the-derivatives-of-primary-trig-functions-that-a-cscx-cscx-cot-x-dx","computed":{"hrefAndAs":{"href":"/my-questions?questionId=5fcc1cb1-8bd9-430c-87ca-1e1692ccf7b5","as":"/questions-and-answers/2.-show-using-the-derivatives-of-primary-trig-functions-that-a-cscx-cscx-cot-x-dx/5fcc1cb1-8bd9-430c-87ca-1e1692ccf7b5"}}},{"answer":"1: 2:","id":"4fa7fc50-a327-469c-b76c-cdf8370cadcd","questionText":"Please help on all questions asked. Please show all work and steps. Please circle the final answer.","slug":"1.-differentiate.-a-fx-x43x-b-gx-x-ex-x-c-hx-23-d-y-sin-x-ex-e-qx-x-2x-f-y-2-cos-cosx","computed":{"hrefAndAs":{"href":"/my-questions?questionId=4fa7fc50-a327-469c-b76c-cdf8370cadcd","as":"/questions-and-answers/1.-differentiate.-a-fx-x43x-b-gx-x-ex-x-c-hx-23-d-y-sin-x-ex-e-qx-x-2x-f-y-2-cos-cosx/4fa7fc50-a327-469c-b76c-cdf8370cadcd"}}},{"answer":"Step 1: Step 2: Step 3: Step 4:","id":"dafb22d4-fefd-4e52-bc6c-a496122b494e","questionText":"Asap7 I will rate helpful please help immediately","slug":"7-convert-p-in-radians-to-degrees-8","computed":{"hrefAndAs":{"href":"/my-questions?questionId=dafb22d4-fefd-4e52-bc6c-a496122b494e","as":"/questions-and-answers/7-convert-p-in-radians-to-degrees-8/dafb22d4-fefd-4e52-bc6c-a496122b494e"}}},{"answer":"Step 1: Identify the formulas to be used to find the surface area (SA) and Volume (V) of a…","id":"f1dd2f8a-e577-4fd2-9011-98e217aea85d","questionText":"Asap5 I will rate helpful please help immediately","slug":"find-the-surface-area-and-volume-of-the-given-sphere.-round-your-answers-to-3-decimal-places.-surfac","computed":{"hrefAndAs":{"href":"/my-questions?questionId=f1dd2f8a-e577-4fd2-9011-98e217aea85d","as":"/questions-and-answers/find-the-surface-area-and-volume-of-the-given-sphere.-round-your-answers-to-3-decimal-places.-surfac/f1dd2f8a-e577-4fd2-9011-98e217aea85d"}}},{"answer":"","id":"0d7ed346-3e61-48a0-8236-b42a96af6267","questionText":"I wrote out the question as requested and tried to re-upload the 2 questions I'm interested in. I…","slug":"e-show-that-vx-t-ux-t-ux-t-is-solution-of-a-homogeneous-problem-with-a-different-initial-condition-a","computed":{"hrefAndAs":{"href":"/my-questions?questionId=0d7ed346-3e61-48a0-8236-b42a96af6267","as":"/questions-and-answers/e-show-that-vx-t-ux-t-ux-t-is-solution-of-a-homogeneous-problem-with-a-different-initial-condition-a/0d7ed346-3e61-48a0-8236-b42a96af6267"}}},{"answer":"","id":"790bf16f-1c0a-4a98-b1eb-652f4a80e35c","questionText":"Please utilizing the solutions to the previous sub questions, solve and write out explicitly the…","slug":"consider-the-following-heat-equation-on-a-rod-which-includes-heat-loss-through-the-lateral-side-and-","computed":{"hrefAndAs":{"href":"/my-questions?questionId=790bf16f-1c0a-4a98-b1eb-652f4a80e35c","as":"/questions-and-answers/consider-the-following-heat-equation-on-a-rod-which-includes-heat-loss-through-the-lateral-side-and-/790bf16f-1c0a-4a98-b1eb-652f4a80e35c"}}},{"answer":"","id":"00faa39d-77d1-4183-84c5-f0f27d083011","questionText":"Could section E and F be solved explicitly please?","slug":"consider-the-following-heat-equation-on-a-rod-which-includes-heat-loss-through-the-lateral-side-and-","computed":{"hrefAndAs":{"href":"/my-questions?questionId=00faa39d-77d1-4183-84c5-f0f27d083011","as":"/questions-and-answers/consider-the-following-heat-equation-on-a-rod-which-includes-heat-loss-through-the-lateral-side-and-/00faa39d-77d1-4183-84c5-f0f27d083011"}}},{"answer":"The Heat Equation with Heat Loss and Fixed Boundary Conditions Part (a): Finding the Equilibrium…","id":"2e69855d-54b9-47f1-aa1e-9eb3e53e61b0","questionText":"Please solve with no summations in final solution. I attepted myself but am having trouble figuring…","slug":"consider-the-following-heat-equation-on-a-rod-which-includes-heat-loss-through-the-lateral-side-and-","computed":{"hrefAndAs":{"href":"/my-questions?questionId=2e69855d-54b9-47f1-aa1e-9eb3e53e61b0","as":"/questions-and-answers/consider-the-following-heat-equation-on-a-rod-which-includes-heat-loss-through-the-lateral-side-and-/2e69855d-54b9-47f1-aa1e-9eb3e53e61b0"}}},{"answer":"If doubt then aks. Please like.","id":"457d5f8b-f55e-4c47-839b-420898ae2a2f","questionText":"Consider the following heat equation on a rod (which includes heat loss through the lateral side and…","slug":"consider-the-following-heat-equation-on-a-rod-which-includes-heat-loss-through-the-lateral-side-and-","computed":{"hrefAndAs":{"href":"/my-questions?questionId=457d5f8b-f55e-4c47-839b-420898ae2a2f","as":"/questions-and-answers/consider-the-following-heat-equation-on-a-rod-which-includes-heat-loss-through-the-lateral-side-and-/457d5f8b-f55e-4c47-839b-420898ae2a2f"}}},{"answer":"f)","id":"7396f302-08b7-4a73-b792-50312cfc678f","questionText":"pls draw the graph by showing and incorporating everything.","slug":"8.-consider-the-function-x-x-8x-18x-27-and-in-factored-form-fx-x-1x-3-a-determine-the-x-and-y-interc","computed":{"hrefAndAs":{"href":"/my-questions?questionId=7396f302-08b7-4a73-b792-50312cfc678f","as":"/questions-and-answers/8.-consider-the-function-x-x-8x-18x-27-and-in-factored-form-fx-x-1x-3-a-determine-the-x-and-y-interc/7396f302-08b7-4a73-b792-50312cfc678f"}}},{"answer":"","id":"ae5c03e8-f7df-4a4f-a03b-7582229221c9","questionText":"pls help asap. pls draw the actual graph kindly as well as show all details and steps and work.","slug":"4.-sketch-a-graph-of-a-rational-function-that-satisfies-the-following-conditions-f-0-0-f4-6-f-6-9-f0","computed":{"hrefAndAs":{"href":"/my-questions?questionId=ae5c03e8-f7df-4a4f-a03b-7582229221c9","as":"/questions-and-answers/4.-sketch-a-graph-of-a-rational-function-that-satisfies-the-following-conditions-f-0-0-f4-6-f-6-9-f0/ae5c03e8-f7df-4a4f-a03b-7582229221c9"}}},{"answer":"Step 1: Step 2: Step 3: Step 4:","id":"8f53da57-572d-4cf5-b207-dd3610adfa57","questionText":"Please help on all asked questions. Pls show all work and steps. Please circle the final answer.","slug":"9.-a-farmer-wants-to-build-a-rectangular-pen-for-his-chickens-and-subdivide-it-into-8-smaller-pens-a","computed":{"hrefAndAs":{"href":"/my-questions?questionId=8f53da57-572d-4cf5-b207-dd3610adfa57","as":"/questions-and-answers/9.-a-farmer-wants-to-build-a-rectangular-pen-for-his-chickens-and-subdivide-it-into-8-smaller-pens-a/8f53da57-572d-4cf5-b207-dd3610adfa57"}}},{"answer":"I hope you are finding the material engaging and informative. If you have any questions or…","id":"688cf959-abfc-449e-a403-18f8d232cea0","questionText":"Please help on all asked questions. Pls show all work and steps. Please circle the final answer.…","slug":"8.-consider-the-function-x-x-8x-18x-27-and-in-factored-form-fx-x-1x-33-a-determine-the-x-and-y-inter","computed":{"hrefAndAs":{"href":"/my-questions?questionId=688cf959-abfc-449e-a403-18f8d232cea0","as":"/questions-and-answers/8.-consider-the-function-x-x-8x-18x-27-and-in-factored-form-fx-x-1x-33-a-determine-the-x-and-y-inter/688cf959-abfc-449e-a403-18f8d232cea0"}}},{"answer":"KiStep 1: The given function is f(x)=3x⁵-5x³Differentiate with respect to x, f'(x)=15x⁴-15x² (Since,…","id":"8ebed158-0834-4c30-8aac-d79ad71d6bbc","questionText":"Please help on all asked questions. Pls show all work and steps. Please circle the final answer.","slug":"7.-find-the-intervals-over-which-the-function-fx-3x-5x-is-concave-down.","computed":{"hrefAndAs":{"href":"/my-questions?questionId=8ebed158-0834-4c30-8aac-d79ad71d6bbc","as":"/questions-and-answers/7.-find-the-intervals-over-which-the-function-fx-3x-5x-is-concave-down./8ebed158-0834-4c30-8aac-d79ad71d6bbc"}}},{"answer":"If you have any problem let me know in the comment section thank you.","id":"2993aef6-6c24-4977-b012-e7814aca151a","questionText":"Please help on all asked questions. Pls show all work and steps. Please circle the final answer.","slug":"6.-determine-the-critical-points-of-the-given-function-and-classify-the-nature-of-each-critical-poin","computed":{"hrefAndAs":{"href":"/my-questions?questionId=2993aef6-6c24-4977-b012-e7814aca151a","as":"/questions-and-answers/6.-determine-the-critical-points-of-the-given-function-and-classify-the-nature-of-each-critical-poin/2993aef6-6c24-4977-b012-e7814aca151a"}}},{"answer":"Step 1: Step 2: Step 3: Step 4:","id":"aac6577f-de09-48a0-b49f-a7318fd82e4a","questionText":"Find all first and second order partial derivatives of the given function.\nf(x,y) =xcos(y)\nsin(x)…","slug":"find-all-first-and-second-order-partial-derivatives-of-the-given-function.-fxy-xcosy-sinx-for-the-to","computed":{"hrefAndAs":{"href":"/my-questions?questionId=aac6577f-de09-48a0-b49f-a7318fd82e4a","as":"/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"}}},{"answer":"The region is bounded by the graphs of the functions y = x and y = x2 in the first quadrant. The…","id":"9fff313c-7ccb-4381-97b6-e99ce01810b9","questionText":"The Method of Cy X\nMTH 252 6.4 Volumes\nX\nMTH 252 6.4 Volumes X\nmyPSU…","slug":"the-method-of-cy-x-mth-252-6.4-volumes-x-mth-252-6.4-volumes-x-mypsu-2edfinity.comassessments67296ae","computed":{"hrefAndAs":{"href":"/my-questions?questionId=9fff313c-7ccb-4381-97b6-e99ce01810b9","as":"/questions-and-answers/the-method-of-cy-x-mth-252-6.4-volumes-x-mth-252-6.4-volumes-x-mypsu-2edfinity.comassessments67296ae/9fff313c-7ccb-4381-97b6-e99ce01810b9"}}},{"answer":"Steps and explanations are as follows: In case of any doubt, please let me know. Thank you.","id":"d4e76518-a8c7-44a2-9808-ccc5374a73da","questionText":"Sketch the graph of f with the following characteristics:\nf(2)=f(4)=0\nf(3) is defined\nf'(x)\u0026lt;0 if…","slug":"sketch-the-graph-of-f-with-the-following-characteristics-f2f40-f3-is-defined-fxandlt0-if-xandlt3-f3-","computed":{"hrefAndAs":{"href":"/my-questions?questionId=d4e76518-a8c7-44a2-9808-ccc5374a73da","as":"/questions-and-answers/sketch-the-graph-of-f-with-the-following-characteristics-f2f40-f3-is-defined-fxandlt0-if-xandlt3-f3-/d4e76518-a8c7-44a2-9808-ccc5374a73da"}}},{"answer":"","id":"ef98b5fe-0b11-4fcf-af23-2c1a680bdd74","questionText":"44578.28 or 14184 π is the wrong answer for this question. I would like to try again for this…","slug":"4.-submit-answer-practice-similar-find-the-volume-of-the-solid-obtained-by-rotating-the-region-enclo","computed":{"hrefAndAs":{"href":"/my-questions?questionId=ef98b5fe-0b11-4fcf-af23-2c1a680bdd74","as":"/questions-and-answers/4.-submit-answer-practice-similar-find-the-volume-of-the-solid-obtained-by-rotating-the-region-enclo/ef98b5fe-0b11-4fcf-af23-2c1a680bdd74"}}},{"answer":"Step 1: Step 2: Step 3: Step 4:","id":"07679e57-af93-4c60-881f-da64e3b4c382","questionText":"1.\nSubmit answer\nPractice similar\nUse the Shell Method to find the volume of the solid obtained by…","slug":"1.-submit-answer-practice-similar-use-the-shell-method-to-find-the-volume-of-the-solid-obtained-by-r","computed":{"hrefAndAs":{"href":"/my-questions?questionId=07679e57-af93-4c60-881f-da64e3b4c382","as":"/questions-and-answers/1.-submit-answer-practice-similar-use-the-shell-method-to-find-the-volume-of-the-solid-obtained-by-r/07679e57-af93-4c60-881f-da64e3b4c382"}}},{"answer":"Step 1:Givenf(x,y)=2x2−3xy+6yandu=⟨53,−54⟩Then directional derivative of f along the vector u is…","id":"95c8a019-cea5-449c-a393-baddf2866ad3","questionText":"Find Dof(1,2).\nน\n3\n-4\nf(x,y) = 2x2-3xy + 6y","slug":"find-dof12.-3-4-fxy-2x2-3xy-6y","computed":{"hrefAndAs":{"href":"/my-questions?questionId=95c8a019-cea5-449c-a393-baddf2866ad3","as":"/questions-and-answers/find-dof12.-3-4-fxy-2x2-3xy-6y/95c8a019-cea5-449c-a393-baddf2866ad3"}}},{"answer":"1.2.34","id":"8f0888b9-590b-4342-936f-8ec2d56c1722","questionText":"QUESTION 1\nf(xy)=x²-y²\nSketch the level curve for fix,y) = 1.\nFor the toolbar, press ALT+F10 (PC) or…","slug":"question-1-fxyx-y-sketch-the-level-curve-for-fixy-1.-for-the-toolbar-press-altf10-pc-or-altfnf10-mac","computed":{"hrefAndAs":{"href":"/my-questions?questionId=8f0888b9-590b-4342-936f-8ec2d56c1722","as":"/questions-and-answers/question-1-fxyx-y-sketch-the-level-curve-for-fixy-1.-for-the-toolbar-press-altf10-pc-or-altfnf10-mac/8f0888b9-590b-4342-936f-8ec2d56c1722"}}},{"answer":"The problem is asking us to find the derivative of the function f(x,y) = 2x^2 + 3xy + 6y at the…","id":"6ebb809f-0bff-41ba-99a4-00045dd315e8","questionText":"Find D f(1,2).\nน\nf(x,y) = 2x2 3xy + 6y","slug":"find-d-f12.-fxy-2x2-3xy-6y","computed":{"hrefAndAs":{"href":"/my-questions?questionId=6ebb809f-0bff-41ba-99a4-00045dd315e8","as":"/questions-and-answers/find-d-f12.-fxy-2x2-3xy-6y/6ebb809f-0bff-41ba-99a4-00045dd315e8"}}},{"answer":"First, we need to find the first order partial derivatives of the function f(x,y) = x*y^(-2) +…","id":"3fdf73f5-70c3-488d-98ae-966cd890bce4","questionText":"Find the limit. Hint use Polar Coordinates.\nx2y2\nlim\n(x,y)+(0,0) x²+y2","slug":"find-the-limit.-hint-use-polar-coordinates.-x2y2-lim-xy00-xy2-find-all-first-and-second-order-partia","computed":{"hrefAndAs":{"href":"/my-questions?questionId=3fdf73f5-70c3-488d-98ae-966cd890bce4","as":"/questions-and-answers/find-the-limit.-hint-use-polar-coordinates.-x2y2-lim-xy00-xy2-find-all-first-and-second-order-partia/3fdf73f5-70c3-488d-98ae-966cd890bce4"}}},{"answer":"","id":"8d3a7c08-c091-4299-8a07-b3ac33affee6","questionText":"respond to these.","slug":"hw-supplement-exponentials-name-1.-find-the-derivatives.-show-all-work.-simplify-your-answers.-a.-fx","computed":{"hrefAndAs":{"href":"/my-questions?questionId=8d3a7c08-c091-4299-8a07-b3ac33affee6","as":"/questions-and-answers/hw-supplement-exponentials-name-1.-find-the-derivatives.-show-all-work.-simplify-your-answers.-a.-fx/8d3a7c08-c091-4299-8a07-b3ac33affee6"}}},{"answer":"9) Decline of American Idol (a) Average number of viewers in the 2011 seasonSubstitute t=1 (which…","id":"d416abf5-69c2-4fc5-bc1b-1383618b7149","questionText":"respond to these three.","slug":"9.-02-points-details-my-notes-tanapcalcbr10-5.1.040.-previous-answers-ask-your-teacher-decline-of-am","computed":{"hrefAndAs":{"href":"/my-questions?questionId=d416abf5-69c2-4fc5-bc1b-1383618b7149","as":"/questions-and-answers/9.-02-points-details-my-notes-tanapcalcbr10-5.1.040.-previous-answers-ask-your-teacher-decline-of-am/d416abf5-69c2-4fc5-bc1b-1383618b7149"}}},{"answer":"","id":"f5f46500-197d-4b2d-8bbc-225fb12b739c","questionText":"Solve for all of these with steps","slug":"hw-supplement-exponentials-name-1.-find-the-derivatives.-show-all-work.-simplify-your-answers.-a.-fx","computed":{"hrefAndAs":{"href":"/my-questions?questionId=f5f46500-197d-4b2d-8bbc-225fb12b739c","as":"/questions-and-answers/hw-supplement-exponentials-name-1.-find-the-derivatives.-show-all-work.-simplify-your-answers.-a.-fx/f5f46500-197d-4b2d-8bbc-225fb12b739c"}}},{"answer":"The equation is:where:A(t) is the leaf's area in cm2,t is the number of degree-days (a measure…","id":"07aa2869-28f8-4aa6-b844-5093c14c8e9d","questionText":"7) The growth of corn leaves is modeled by the equation: A(t)\n105\n=\n1+32900e-.04t\nWhere A(t) is the…","slug":"7-the-growth-of-corn-leaves-is-modeled-by-the-equation-at-105-132900e-.04t-where-at-is-the-leafs-are","computed":{"hrefAndAs":{"href":"/my-questions?questionId=07aa2869-28f8-4aa6-b844-5093c14c8e9d","as":"/questions-and-answers/7-the-growth-of-corn-leaves-is-modeled-by-the-equation-at-105-132900e-.04t-where-at-is-the-leafs-are/07aa2869-28f8-4aa6-b844-5093c14c8e9d"}}},{"answer":"Given: A0=800g;t=0day;dtdA=−0.07AStep 1: Write the derivative equation so that it can be…","id":"ffdc29a6-9fda-4930-91bc-bba11a8c1174","questionText":"6) A certain radioactive element has a decay rate of 7 % per day, that is it satisfies the equation:…","slug":"6-a-certain-radioactive-element-has-a-decay-rate-of-7-percent-per-day-that-is-it-satisfies-the-equat","computed":{"hrefAndAs":{"href":"/my-questions?questionId=ffdc29a6-9fda-4930-91bc-bba11a8c1174","as":"/questions-and-answers/6-a-certain-radioactive-element-has-a-decay-rate-of-7-percent-per-day-that-is-it-satisfies-the-equat/ffdc29a6-9fda-4930-91bc-bba11a8c1174"}}},{"answer":"Because the bank employs continuous compounding, your money will increase steadily over time. 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Consider the function f (x)\n5e2r. On what interval(s) is f (x)\n%3D\nincreasing? On what…","slug":"18.-consider-the-function-f-x-5e2r.-on-what-intervals-is-f-x-percent3d-increasing-on-what-intervals-"},{"answer":"on solving we get","id":"24d75b66-f8a4-453f-b178-c6165f3c1f2d","questionText":"The derivative of the function\nf(x) = 25 x3 -6 x2 +7x- 88\nat X = 3 using a step size of 0.5 and…","slug":"the-derivative-of-the-function-fx-25-x3-6-x2-7x-88-at-x-3-using-a-step-size-of-0.5-and-forward-finit"},{"answer":"","id":"95ebc63d-e3e8-4c3a-860e-174f82cdba99","questionText":"Find the following (if they exist) for the function whose graph is given below:","slug":"a-f2-b-lim-fx-c-lim-fx-d-lim-fx-x3-x3-e-lim-fx-f-lim-fx-fxa-a-owjuawor-0.-3-2.-3.-2-3"},{"answer":"a)\nAn open box with base a square has volume 108 cubic inches\nThe side length of base is x inches\nBy…","id":"aa78dfdf-c99a-4f4f-9143-32a308122042","questionText":"9) An open box with a square base (side length = x) is to have a volume of 108 cubic inches.\na)…","slug":"9-an-open-box-with-a-square-base-side-length-x-is-to-have-a-volume-of-108-cubic-inches.-a-write-the-"}]},{"id":"be5790a4-8ffc-4fb2-ac43-ea93deeb21e5","title":"Exponential Growth Model","slug":"exponential-growth-model","link":"/subject/math/calculus/concepts/exponential-growth-model","subject":"Calculus","parentSubject":"Math","qnaZippies":[{"answer":"given:\nf(x)=(x-1)/(x+3)\nx=4\ndelta(x)=8","id":"e4fcbe29-b130-4c83-b001-c2128cea5242","questionText":"ズ-1\nf(x) =\nX + 3","slug":"1-fx-x-3"},{"answer":"Given - The following graph shows the weight measurements of the average infant from the time of…","id":"5220c110-747a-4edd-8bc3-9212c9abea04","questionText":"AVERAGE WEIGHT OF AN INFANT The following graph shows the weight measurements of the average infant…","slug":"30-3.5-22.5-20-7.5-10-7.5-24-6-8-10-12-14-16-18-20-22-24-months-average-weight-of-infants-in-pounds"}]},{"id":"264d99df-5033-4bee-b42e-8c4b94c25782","title":"Rate of Change","slug":"rate-of-change","link":"/subject/math/calculus/concepts/rate-of-change","subject":"Calculus","parentSubject":"Math","qnaZippies":[{"answer":"Given: y=secx2-1\nwe know that\nddxsecx=secxtanx","id":"55532d5a-4099-497b-a614-ce4c520793cc","questionText":"find dy. y = sec (x2 - 1)","slug":"find-dy.-y-sec-x-2-1"},{"answer":"We are given that f: A --\u0026gt; B and W and X are subsets of A.\nFor (a),\nThe given statement f(W∪X) =…","id":"8d619844-76c9-4b04-9430-3f38ac1d73fb","questionText":"1. Suppose f: A\nB and W and X are subsets of A.\n(a) Will it always be true that f(W U X) = f(W) U…","slug":"1.-suppose-f-a-b-and-w-and-x-are-subsets-of-a.-a-will-it-always-be-true-that-fw-u-x-fw-u-fx-b-will-i"},{"answer":"According to the definition of the inverse function\na = f—1(1)\nif f(a) = 1\na is the value of x\nf(x)…","id":"4569aacd-d888-44af-a30d-0fb2f795d60e","questionText":"Use the table to evaluate f'(1).\n1\n2\n3\nf(x) 2\n4\n1\n43","slug":"use-the-table-to-evaluate-f1.-1-2-3-fx-2-4-1-43"},{"answer":"Solve by using first derivative and second derivative","id":"548a2c5d-f984-4e52-a8a7-08ab9308cfa6","questionText":"2, f'(4)=2, f'(4)= -1\nse correct graph below.\nOB.\nOc.\nOD.\nAy\nAy\nAy\n(4, 2)\n(4,2\n(4,2)\n(4, 2)","slug":"2-f42-f4-1-se-correct-graph-below.-ob.-oc.-od.-ay-ay-ay-4-2-42-42-4-2"}]},{"id":"b3820f46-470d-4c62-be84-74f306c25096","title":"Slope","slug":"slope","link":"/subject/math/calculus/concepts/slope","subject":"Calculus","parentSubject":"Math","qnaZippies":[{"answer":"Here, we need to select all the graphs that depict a function which is not differentiable at x=0.…","id":"fa4eab42-fa5a-4f9b-8f70-128663dee586","questionText":"Select all of the graphs that depict a function which is not differentiable at x=0.","slug":"select-all-of-the-graphs-that-depict-a-function-which-is-not-differentiable-at-x0."},{"answer":"Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a…","id":"ddbc9c6a-2ca1-456e-aec1-bbb6649d6888","questionText":"The graph of f(x) =\nsec x has vertical asymptotes\n%3D\nSelect one:\na.\nTrue\nb.\nFalse","slug":"the-graph-of-fx-sec-x-has-vertical-asymptotes-percent3d-select-one-a.-true-b.-false"},{"answer":"Here,f(x)=2x3-15x2+24x.Now,f'(x)=ddx(2x3-15x2+24x) =6x2-36x+24","id":"77f5c51f-7c38-4e5b-a5ac-789474675ca6","questionText":"Slope of a tangent line Let f(x) = 2x 3 - 15x 2 + 24x. For what values of x does the line tangent to…","slug":"slope-of-a-tangent-line-let-fx-2x-3-15x-2-24x.-for-what-values-of-x-does-the-line-tangent-to-the-gra"},{"answer":"Consider the given function\ny = sin−1(7x)\nUse the below formula to find the derivative","id":"abfa161f-952b-4e27-801c-b108fc9d4c80","questionText":"find the derivative.\ny = sin−1(7x)","slug":"find-the-derivative.-y-sin-1-7x"}]}],"description":"Differentiation is one of the major concepts of calculus apart from integration. It is the derivative or rate of change of a function with respect to the independent variable.","id":5},{"name":"Fundamentals of Calculus","concept_explainers":[{"id":"80b6cb35-41d6-40a2-a696-0b02046b3b27","title":"Limits","slug":"limits","link":"/subject/math/calculus/concepts/limits","subject":"Calculus","parentSubject":"Math","qnaZippies":[{"answer":"to find:-\nlimit.","id":"b021937e-6105-47be-8218-c5771ae12aa9","questionText":"Question 3\narctan(3x)\nlim\n( Select)\nX--0 ex -1\n1/x\nlim\nx--0+ In x\n( Select)","slug":"question-3-arctan3x-lim-select-x-0-ex-1-1x-lim-x-0-in-x-select"},{"answer":"Concept Used:\nA function is continuous if it passes the tests:","id":"e7b4fe88-b9ba-4678-be86-ad061ddcb38d","questionText":"Explain why the function is discontinuous at the given number a. (Select all that apply.)\nf(x)\na =…","slug":"explain-why-the-function-is-discontinuous-at-the-given-number-a.-select-all-that-apply.-fx-a-1-x-1-l"},{"answer":"The graph of f(x) is as shown below :","id":"0727e2e2-5bb6-4fd3-92b0-b2e0a42f2a73","questionText":"What is limf(x) as shown in the graph?\nAY\n1.14+\n0.76\n0.38\n-4a\n-3%\n-1%\n2n\n-0.38\n0.76\n-1.14+\nO -1\nO 1…","slug":"what-is-limfx-as-shown-in-the-graph-ay-1.14-0.76-0.38-4a-3percent-1percent-2n-0.38-0.76-1.14-o-1-o-1"},{"answer":"Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…","id":"47a72757-cb94-4515-8d80-0cf7dbf4feeb","questionText":"When do creative people get their best ideas? USA Today did a survey of 966 inventors (who hold U.S.…","slug":"when-do-creative-people-get-theirbestideasusa-todaydid-a-survey-of-966-inventors-who-hold-u.s.-paten"}]}],"description":"The fundamentals of calculus include topics like limits, differential calculus, integral calculus, multivariable calculus. The two primary operations in calculus are differentiation and integration. ","id":1},{"name":"Integration","concept_explainers":[{"id":"0ddae7ce-878d-4035-92f9-a74780413d70","title":"Application of Integration","slug":"application-of-integration","link":"/subject/math/calculus/concepts/application-of-integration","subject":"Calculus","parentSubject":"Math","qnaZippies":[{"answer":"(x-1)2+(y-2)2 = 6","id":"d4cd2f3e-ce32-4bdf-a9e9-a2ef2df911cf","questionText":"(x – 1)² + (y – 2)² = 6\nA)\nB)\nCenter: (-3, 1)\nCenter: (1, 2)\nRadiu: Ve\nRadiu: ve\nO A\nв\nD)\nCenter:…","slug":"x-1-y-2-6-a-b-center-3-1-center-1-2-radiu-ve-radiu-ve-o-a-v-d-center-2-1-radia-v6-center-a-1-radia-v"},{"answer":"","id":"723de665-97ff-4396-bcfc-2e3ab5026890","questionText":"The region bounded by y= x*\naround the X-axis . Find the volume.\nX\" and\ny=x+2 reudlves","slug":"the-region-bounded-by-y-x-around-the-x-axis-.-find-the-volume.-x-and-yx2-reudlves"},{"answer":"Let the variable T represents the time in second for the runner to complete 20 mile run.\nThen, the…","id":"a24b55e4-9256-48a4-b47c-f455b40b1cf1","questionText":"Suppose the function H(t) gives the heart rate of a runner, t seconds after starting his 20 mile run…","slug":"suppose-the-function-ht-gives-the-heart-rate-of-a-runner-t-seconds-after-starting-his-20-mile-run-un"},{"answer":"","id":"70fef13e-41d4-42d9-ba48-4058e46caa62","questionText":"Assume 0 \u003c b \u003c a. Find the volume of the torus that is generated\nby revolving the circle (x – a)? +…","slug":"assume-0-less-b-less-a.-find-the-volume-of-the-torus-that-is-generated-by-revolving-the-circle-x-a-2"}]},{"id":"2125e2ef-c029-41fb-bb4d-77ae0cdfbd17","title":"Volume","slug":"volume","link":"/subject/math/calculus/concepts/volume","subject":"Calculus","parentSubject":"Math","qnaZippies":[{"answer":"The average weights of pike for certain lengths are\n\nTo find a cubic equation Wx best fits the data","id":"bbd9fc7b-b454-4495-8f46-230b4f4a4150","questionText":"Fish Weights). The data in Table 5 give the average weights of pike for certain lengths. (Use 4…","slug":"fish-weights.-the-data-in-table-5-give-the-average-weights-of-pike-for-certain-lengths.-use-4-decima"},{"answer":"To graph:\nThe sketch to show a case in which the area bounded by the two curves is most easily found…","id":"31a26f7b-565d-4393-b1a0-b55b0e91b0ca","questionText":"Make a sketch to show a case in which the area bounded by two curves is most easily found by…","slug":"make-a-sketch-to-show-a-case-in-which-the-area-bounded-by-two-curves-is-most-easily-found-by-integra"},{"answer":"","id":"9cf51bf7-4162-44d8-9d8d-f5db8c8a35f7","questionText":"Use logarithms to find an exact solution to the equation below.\n\ne^0.09t = 29","slug":"use-logarithms-to-find-an-exact-solution-to-the-equation-below.-e0.09t-29"},{"answer":"","id":"53f21456-8bb2-45ec-8764-bfe93c2ae0f3","questionText":"Plane Geometry","slug":"a-ladder-rests-with-one-end-against-a-vertical-wall-and-the-other-end-upon-a-horizontal-floor.-if-th"}]},{"id":"69395f93-87d6-4f33-8b04-a6bb664e285c","title":"Optimization","slug":"optimization","link":"/subject/math/calculus/concepts/optimization","subject":"Calculus","parentSubject":"Math","qnaZippies":[{"answer":"Given Plane Curve equation in parametric form is \n x=3t, y=t2+t+5\n Now, Plane Curve equation in…","id":"66bdc2f8-f0a8-478c-aae3-d30628e98ce6","questionText":"Sketch the plane curve represented by the given parametric equations Then use interval notation to…","slug":"sketch-the-plane-curve-represented-by-the-given-parametric-equations-then-use-interval-notation-to-g"},{"answer":"We first sketch the region using a graphing calculator.","id":"d2c5dc64-0471-430a-92eb-448409c0424a","questionText":"Find the exact volume of the solid generated by revolving the region bounded by the given curves…","slug":"find-the-exact-volume-of-the-solid-generated-by-revolving-the-region-bounded-by-the-given-curves-abo"},{"answer":"","id":"97a0203e-be70-4e65-b7e0-46c98a835797","questionText":"A mass weighing 100 lb (mass m=3.125 slugs in fps units) is attached to the end of a spring that is…","slug":"a-mass-weighing-100-lb-mass-m3.125-slugs-in-fps-units-is-attached-to-the-end-of-a-spring-that-is-str"},{"answer":"L: life time of the piece of equipment.\nL~exp1\nD: tax depreciation factor\nD=e-L\nT=taxable value…","id":"e16c81a4-579c-4ce5-a1c8-21ca0a8591c4","questionText":"The lifetime of a piece of equipment L follows an exponential distribution with mean 1\nyear. The tax…","slug":"the-lifetime-of-a-piece-of-equipment-l-follows-an-exponential-distribution-with-mean-1-year.-the-tax"}]},{"id":"d60973bc-c67b-423d-890e-aad9db0fa6ef","title":"Area","slug":"area","link":"/subject/math/calculus/concepts/area","subject":"Calculus","parentSubject":"Math","qnaZippies":[{"answer":"GIVEN : G is the solid enclosed by the cylinder x2 + y2 = 4, the sphere x2 + y2 + z2 = 16, and the…","id":"66c32261-2873-4d8e-84ab-828a780fcc80","questionText":"Let G be the solid enclosed by the cylinder x + y = 4, the sphere x +y +z° = 16, and the plane z =…","slug":"let-g-be-the-solid-enclosed-by-the-cylinder-x-y-4-the-sphere-x-y-z-16-and-the-plane-z-0.-percent3d-a"},{"answer":"Given,","id":"d6334055-1dfe-4caf-857d-10eabda9e3d9","questionText":"Find the area of the indicated region. We suggest you graph the curves to check whether one is above…","slug":"find-the-area-of-the-indicated-region.-we-suggest-you-graph-the-curves-to-check-whether-one-is-above"},{"answer":"Given:\nRegion between curve f(x)=4x and g(x)=x3","id":"7d756fb7-d0f9-4a0a-a663-3486c7d41a0a","questionText":"1. Which of the definite integrals will give the volume of the solid obtained by rotating the area…","slug":"1.-which-of-the-definite-integrals-will-give-the-volume-of-the-solid-obtained-by-rotating-the-area-b"}]},{"id":"f87992fd-6ec0-4d64-8517-92cb81667372","title":"Integration","slug":"integration","link":"/subject/math/calculus/concepts/integration","subject":"Calculus","parentSubject":"Math","qnaZippies":[{"answer":"we know that\nddxfgx=f'gxg'x ..1","id":"01e71370-46ab-4fac-9470-f642195a9565","questionText":"QUESTION 10\nLet f5)-10, f'(5)-3. g(1)-5, g'(1)-7.\nThenf(g(x).- quais:\nO 21\nO 15","slug":"question-10-let-f5-10-f5-3.-g1-5-g1-7.-thenfgx.-quais-o-21-o-15"},{"answer":"Given Data:\nThe given integrand is: ∫Cxdy+ydx\nThe equation of the curve is: y=ex ......1\nThe limit…","id":"c489230b-9b27-484f-b5c7-e552263b60ab","questionText":"Find\n| xdy + ydx, where C is the arc of the curve\ny = eª for 0 \u003c x \u003c 3","slug":"find-or-xdy-ydx-where-c-is-the-arc-of-the-curve-y-ea-for-0-less-x-less-3"},{"answer":"We have to fine The area z =-2.18 and z 1.42 is","id":"8dcc2d27-d27e-4d94-b45e-c2d78da0c123","questionText":"The area z =-2.18 and z 1.42 is","slug":"the-area-z-2.18-and-z-1.42-is"},{"answer":"Given a solid is bounded by the curves\ny=2x , y=0 and x=4 rotating on the x- axis.","id":"59764e31-bcad-4824-9a25-d11eb96192cb","questionText":"(#4) Find the volume of the solid bounded by y = 2x, y = 0, and x = 4 rotating on the x-axis:","slug":"4-find-the-volume-of-the-solid-bounded-by-y-2x-y-0-and-x-4-rotating-on-the-x-axis"}]},{"id":"b3fd27f2-857c-4352-8154-dcc2308fc02c","title":"Riemann Integral","slug":"riemann-integral","link":"/subject/math/calculus/concepts/riemann-integral","subject":"Calculus","parentSubject":"Math","qnaZippies":[{"answer":"","id":"9c979e01-448b-494f-88b1-e13b1a807348","questionText":"-=\nFind the open interval(s) where the following function is increasing, decreasing, or constant.…","slug":"find-the-open-intervals-where-the-following-function-is-increasing-decreasing-or-constant.-express-y"},{"answer":"To find integral using substitution:\n∫e51xln2xdx","id":"3a3b3d0b-840e-4a19-8ad0-a4045741e95d","questionText":"Use Substitution to find the definite integral. Note: (Apply the substitution to the limits of…","slug":"use-substitution-to-find-the-definite-integral.-note-apply-the-substitution-to-the-limits-of-integra"},{"answer":"","id":"a7f91361-8af0-45c0-af25-8300fb70b4d5","questionText":"Find the average value of the function f over the given region.\n1\nR= {(x, y). 1 sxs 9,1sys 9)\nxy…","slug":"find-the-average-value-of-the-function-f-over-the-given-region.-1-r-x-y.-1-sxs-91sys-9-xy-fx-y-o-in-"}]},{"id":"c9b32744-7f3d-46aa-9b4f-db0784b2143d","title":"Riemann Sum","slug":"riemann-sum","link":"/subject/math/calculus/concepts/riemann-sum","subject":"Calculus","parentSubject":"Math","qnaZippies":[{"answer":"Given: ∫0∞dx16+xx\nTo determine: The value of the given integral using table.","id":"f182aa3d-512e-43d7-a51b-5afa5a426552","questionText":"The integral in this exercise converges. Evaluate the integral without using a table.\ndx\nO (16 +…","slug":"the-integral-in-this-exercise-converges.-evaluate-the-integral-without-using-a-table.-dx-o-16-xx-00-"},{"answer":"Given integral Fredholm equation,\nux=sec2x+λ∫01utdt\nTo find the solution of this equation.","id":"a96dbafd-eda9-425d-a8eb-bf7a53f74ac2","questionText":"2. u(x)= secx+à So u(t)dt.","slug":"2.-ux-secxa-so-utdt."},{"answer":"","id":"afa78f1a-ab33-4c4d-bd50-a1c76f344925","questionText":"Use comparison properties of integrals to make a conclusion about\nthe lower and upper values of ,…","slug":"use-comparison-properties-of-integrals-to-make-a-conclusion-about-the-lower-and-upper-values-of-6x-4"},{"answer":"given\nBCF=5000 LkgRFD=0.0003 mg/kg/daybody weight=70 kg\nweight of fish=100g/day=0.1 kg/day\nnow,…","id":"4bc9da34-9f49-4f55-b0bf-a298a7e813c6","questionText":"Is it safe for non-carcinogenic effect if you eat fish caught from the lake, which is contaminated…","slug":"is-it-safe-for-non-carcinogenic-effect-if-you-eat-fish-caught-from-the-lake-which-is-contaminated-wi"}]},{"id":"f7763963-0b32-4017-97b2-652e6e8803a8","title":"Numerical Integration","slug":"numerical-integration","link":"/subject/math/calculus/concepts/numerical-integration","subject":"Calculus","parentSubject":"Math","qnaZippies":[{"answer":"","id":"e53e68de-4c89-4281-a089-14b25be62b57","questionText":"Suppose that f(0.25) = f(0.75)= ß.\nIf the Composite Trapezoidal rule with n = 2\ngives the value 4…","slug":"suppose-that-f0.25-f0.75-ss.-if-the-composite-trapezoidal-rule-with-n-2-gives-the-value-4-for-fxdx-p"},{"answer":"","id":"1a5323f9-cca3-4d57-8240-8582308ba543","questionText":"A starburst fireworks rocket is launched from a 10 m high platform. The height of\nthe rocket, h, in…","slug":"a-starburst-fireworks-rocket-is-launched-from-a-10-m-high-platform.-the-height-of-the-rocket-h-in-me"},{"answer":"Taylor series of a function is given by: ∑n=0∞f(n)(a).(x-a)nn!","id":"51b9aa10-2f33-40a7-a220-a63f99a11230","questionText":"Q: Apply Taylov's expansion\nand find\nthe seyies for\ntenn\nat\n4","slug":"q-apply-taylovs-expansion-and-find-the-seyies-for-tenn-at-4"},{"answer":"To evaluate:\n∫02fxdx\ngiven the table of values:","id":"7aa1bd6f-5c3a-4840-9f23-16f6f53b3d5f","questionText":"Use the table below and the trapeziod method with n = 5 to approximate / ƒ (x) dx.\nf (x)\n1.7\n0.2 1.9…","slug":"use-the-table-below-and-the-trapeziod-method-with-n-5-to-approximate-f-x-dx.-f-x-1.7-0.2-1.9-0.4-1.7"}]}],"description":"Integration is one of the two major calculus topics along with differentiation. 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