d d. Calculate ri(t) · r2(t)] and [ri(t) x r2(t)] first by differentiating dt dt the product directly and then by applying the formulas dr2 dr1(t) - r2(t)] = r1(t) · d dri · r2(t) and dt dt d dri x r2(t). dr2 dt ri(t) x r2(t)] =ri(t) x + dt dt ri(t) = 5ti + 3tj + 8t°k, r2(t) = t*k d ri(t) r2(t)] = 32 tº k dt d Iri(t) x r2(t)) = 1 18 to i+ 25 t j +C X

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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d
Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating
d
dt
dt
the product directly and then by applying the formulas
dr2
r:(t) - r2(t)] = r1(t) ·
d
dri
· r2(t) and
dt
dt
d
dr2
dri
ri(t) x r2(t)] =ri(t) x
dt
x r2(t).
dt
dt
ri(t) = 5ti + 3t²j + 8t°k,
r2(t) = t*k
d
[ri(t) r2(t)] =| 32 tº k
dt
d
r:(t) x r2(t)]
18 tổ i+ 25 t* j +C X
dt
Transcribed Image Text:d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating d dt dt the product directly and then by applying the formulas dr2 r:(t) - r2(t)] = r1(t) · d dri · r2(t) and dt dt d dr2 dri ri(t) x r2(t)] =ri(t) x dt x r2(t). dt dt ri(t) = 5ti + 3t²j + 8t°k, r2(t) = t*k d [ri(t) r2(t)] =| 32 tº k dt d r:(t) x r2(t)] 18 tổ i+ 25 t* j +C X dt
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