ddCalculate ri(t) · r2(t)] and[ri(t) x r2(t)] first by differentiatingdtdtthe product directly and then by applying the formulasd[ri(t) · r2(t)] = r1(t) ·.dr2drir2(t) anddtdtdtdri(t) x r2(t)] = r:(t) ×dr2dri+dtx r2(t).dtdtr1(t) = 2ti + 8t°j + 6t°k, r2(t) = t*k%3Ddri(t) · r2(t)]dtd[ri(t) x r2(t)]dt

Answered: Image /qna-images/answer/af7afacd-2a45-41e0-aade-1ecdb3c96c52.jpg

d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating d dt dt the product directly and then by applying the formulas d dr2, dri r:(t) - r2(t)] = r;(t) · r2(t) and dt dt dt d. [r(t) x r2(t)] = ri(t) x + dt dr2 dri x r2(t). dt dt ri(t) = 2ti + 8t°j + 6t°k, r2(t) = t'k d [ri(t) · r2(t)] : dt d [r:(t) x r2(t)] = dt

d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating d dt dt the product directly and then by applying the formulas d dr2, dri r:(t) - r2(t)] = r;(t) · r2(t) and dt dt dt d. [r(t) x r2(t)] = ri(t) x + dt dr2 dri x r2(t). dt dt ri(t) = 2ti + 8t°j + 6t°k, r2(t) = t'k d [ri(t) · r2(t)] : dt d [r:(t) x r2(t)] = dt

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.

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