d Calculate ri(t) · r2(t)] and d [ri(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d dr2 dri r(t) - r2(t)] = r1(t) · r2(t) and dt dt dt d dr2 dri dt r1(t) x r2(t)] = r1(t) × x r2(t). dt dt ri(t) = 8ti + 8t°j + t³k, r2(t) = tʻk %3D d r:(t) · r2(t)] = d dr(t) x r2(t)] = |

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
d
Calculate
ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating
the product directly and then by applying the formulas
dr2
Ir(t) - r(t)] = ri(t)-
d
dri
r2(t) and
dt
dt
dt
dr2
dri
x r2(t).
d
ri(t) x r2(t)] = r;(t) ×
dt
dt
dt
= 8ti + 8tj + t³k, r2(t) = t*k
d
r:(t) · r2(t)]
d
dri(t) x r2(t)]
Transcribed Image Text:d d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating the product directly and then by applying the formulas dr2 Ir(t) - r(t)] = ri(t)- d dri r2(t) and dt dt dt dr2 dri x r2(t). d ri(t) x r2(t)] = r;(t) × dt dt dt = 8ti + 8tj + t³k, r2(t) = t*k d r:(t) · r2(t)] d dri(t) x r2(t)]
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