d Calculate ri(t) · r2(t)] and d dt [r1(t) x 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 dr2 dri x r2(t). d [ri(t) x r2(t)] = rı(t) x dt dt dt r1(t) = 7ti + 3t²j + 7t°k, r2(t) = t*k d 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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Question
d
Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating
d
dt
the product directly and then by applying the formulas
dt
d.
dr2
dri
r1(t) · r2(t)] = r:(t) -
r2(t) and
dt
dt
dt
d
dr2
dri
dr1(t) x r2(t)] = ri(t) ×
x r2(t).
dt
dt
ri(t) = 7ti + 3t°j+ 7t°k,
r2(t) = t'k
d
dt
ri(t) · r2(t)]
d
[r:(t) x r2(t)]
dt
Transcribed Image Text:d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating d dt the product directly and then by applying the formulas dt d. dr2 dri r1(t) · r2(t)] = r:(t) - r2(t) and dt dt dt d dr2 dri dr1(t) x r2(t)] = ri(t) × x r2(t). dt dt ri(t) = 7ti + 3t°j+ 7t°k, r2(t) = t'k d dt ri(t) · r2(t)] d [r:(t) x r2(t)] dt
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