dCalculate[r₁(t) · r₂(t)] and[ri(t);[r1(t) × r2(t)] first by differentiatingthe product directly and then by applying the formulasddr₂, dr₁[r₁(t) · r₂(t)] = r₁(t). +r₂(t) anddtdt dtddr₂ dri[r₁(t) × r₂(t)] = r₁(t) × + x r₂(t).dtdt dtr₁(t) = 7ti + 9t²j+5t³k, r₂(t) = t¹kd[ri(t) r₂(t)] = 36 t5 -j-28 t + kdtri(t) x) × r2(t)] = 54 t³ i – 35 t¹ j+0dt

Answered: Image /qna-images/answer/b57536a5-944a-46e0-a045-c7b572ff1ad2.jpg

Calculate[r₁(t) · r₂(t)] and [r₁(t) × r2(t)] first by differentiating dt he product directly and then by applying the formulas dr₂ dr₁ =7[r₁(t) · r₂(t)] = r₁(t) · + r₂(t) and dt dt 1 =7[r₁(t) × r₂(t)] = r₁(t) × dr₂ dr₁ · + x r₂(t). dt dt r₁(t) = 7ti + 9t²j+5t³k, r₂(t)= t¹k [ri(t) r₂(t)] = 36 t5 - j. 28 t¹ + k [r₁(t) × r₂(t)] = 54 t³ i – 35 t¹ j+c

Calculate[r₁(t) · r₂(t)] and [r₁(t) × r2(t)] first by differentiating dt he product directly and then by applying the formulas dr₂ dr₁ =7[r₁(t) · r₂(t)] = r₁(t) · + r₂(t) and dt dt 1 =7[r₁(t) × r₂(t)] = r₁(t) × dr₂ dr₁ · + x r₂(t). dt dt r₁(t) = 7ti + 9t²j+5t³k, r₂(t)= t¹k [ri(t) r₂(t)] = 36 t5 - j. 28 t¹ + k [r₁(t) × r₂(t)] = 54 t³ i – 35 t¹ j+c

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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