ddCalculate r:(t) - r2(t)] and[ri(t) × r2(t)] first by differentiatingdtdtthe product directly and then by applying the formulasddr2dri[ri(t) · r2(t)] = r1(t) ·dtr2(t) anddtdtdr2dri[r1(t) × r2(t)] = ri(t) ×dtx r2(t).dtdtr1(t) = 9ti + 4t²j+ 5t°k, r2(t) = t'kd[ri(t) r2(t)]dtd[ri(t) × r2(t)]dt

Given that, r1(t)=9t i+4t2j+5t3k, r2(t)=t4k

d Calculate r1(t) · r2(t)] and dt d [ri(t) × r2(t)] first by differentiating the product directly and then by applying the formulas dr2 dri d [ri(t)· r2(t)] = r1(t) · r2(t) and dt dt dr2 dr1 d [r1(t) × r2(t)] = r:(t) × x r2(t). dt dt dt r1(t) = 9ti + 4t²j+ 5t³k, r2(t) = t'k d [r(t) · r2(t)] = dt d [ri(t) × r2(t)] = dt

d Calculate r1(t) · r2(t)] and dt d [ri(t) × r2(t)] first by differentiating the product directly and then by applying the formulas dr2 dri d [ri(t)· r2(t)] = r1(t) · r2(t) and dt dt dr2 dr1 d [r1(t) × r2(t)] = r:(t) × x r2(t). dt dt dt r1(t) = 9ti + 4t²j+ 5t³k, r2(t) = t'k d [r(t) · r2(t)] = dt d [ri(t) × 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.
aIf HP=4, PJ=5, and PM=2, find LP. _ bIf HP=x+1, PJ=x1, LP=8, and PM=3, find x. _

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