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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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Please answer in exact answer no decimal 

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
dr2
dri
ri(t) · r2(t)] =r¡(t).
dt
r2(t) and
dt
dt
dr2
ri(t) x r2(t)] = ri(t) ×
dri
x r2(t).
dt
%3D
dt
dt
ri(t) = cos(t)i + sin(t)j + 2tk, r2(t) = i+ tk
ri(t) - r2(t)] =
dt
[ri(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 dr2 dri ri(t) · r2(t)] =r¡(t). dt r2(t) and dt dt dr2 ri(t) x r2(t)] = ri(t) × dri x r2(t). dt %3D dt dt ri(t) = cos(t)i + sin(t)j + 2tk, r2(t) = i+ tk ri(t) - r2(t)] = dt [ri(t) x r2(t)]: dt
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