r₁(t) = 9ti + 4t²j + 3t³k,deri(t).[ri(t) r₂(t)]ddt=[r₁(t) × r₂(t)] ==[r₂(t) = t¹k ddCalculate[ri(t) r₂(t)] anddt[r₁(t) × r₂(t)] first by differentiatingdiri(t)the product directly and then by applying the formulasddr₂ dri[r₁(t) · r₂(t)] = r₁(t) · + r₂(t) anddtdt dtddr₂dri[r₁(t) × r₂(t)] = r₁(t) × + x r₂(t).dtdt dtr₁(t) = 9ti + 4t²j + 3t³k, r₂(t) = ¹k

Answered: Image /qna-images/answer/dc94fcfb-4a00-4919-b19a-b93d4d93683a.jpg

d d Calculate[ri(t) r2(t)] and[ri(t) r2(t)] first by differentiating dt the product directly and then by applying the formulas d. dr₂ dri [ri(t) r₂(t)] = r₁(t). + r₂(t) and dt dt dt d dr₂ dri [ri(t) x r₂(t)] = r₁(t) x + x r₂(t). dt dt dt r₁(t) = 9ti + 4t²j+ 3t³k, r₂(t) = t¹k

d d Calculate[ri(t) r2(t)] and[ri(t) r2(t)] first by differentiating dt the product directly and then by applying the formulas d. dr₂ dri [ri(t) r₂(t)] = r₁(t). + r₂(t) and dt dt dt d dr₂ dri [ri(t) x r₂(t)] = r₁(t) x + x r₂(t). dt dt dt r₁(t) = 9ti + 4t²j+ 3t³k, r₂(t) = t¹k

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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Question

r₁(t) = 9ti + 4t²j + 3t³k,
deri(t).
[ri(t) r₂(t)]
d
dt
=
[r₁(t) × r₂(t)] =
=
[
r₂(t) = t¹k

d
d
Calculate[ri(t) r₂(t)] and
dt
[r₁(t) × r₂(t)] first by differentiating
diri(t)
the product directly and then by applying the formulas
d
dr₂ dri
[r₁(t) · r₂(t)] = r₁(t) · + r₂(t) and
dt
dt dt
d
dr₂
dri
[r₁(t) × r₂(t)] = r₁(t) × + x r₂(t).
dt
dt dt
r₁(t) = 9ti + 4t²j + 3t³k, r₂(t) = ¹k

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