d d Calculate r1(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas dr1 d ri(t) · r2(t)] = r1(t) · dr2 r2(t) and dt %3D dt dt d dr2 dri ri(t) x r2(t)] = r1(t) × x r2(t). dt dt dt ri(t) = 6ti + 6t°j + 6t°k, r2(t) = t°k d [r:(t) · r2(t)] = dt d [ri(t) × 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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d
d
Calculate ri(t) · r2(t)] and
[r:(t) x r2(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
d
dr
dr2
r(t) · r2(t)] = r1(t) ·.
r2(t) and
dt
dt
dt
d
dr2
dri
r:(t) x r2(t)] = r;(t) ×
x r2(t).
dt
dt
dt
ri(t) = 6ti + 6tj+ 6t°k, r2(t) = t*k
d
d ri(t) · r2(t)] =
d
[ri(t) x r2(t)]
dt
Transcribed Image Text:d d Calculate ri(t) · r2(t)] and [r:(t) x r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d dr dr2 r(t) · r2(t)] = r1(t) ·. r2(t) and dt dt dt d dr2 dri r:(t) x r2(t)] = r;(t) × x r2(t). dt dt dt ri(t) = 6ti + 6tj+ 6t°k, r2(t) = t*k d d ri(t) · r2(t)] = d [ri(t) x r2(t)] dt
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