d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt 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 d dr2 ri(t) x r2(t)] =ri(t) × dri x r2(t). dt dt dt r1(t) = = 5ti + 9tj + 2t°k, r2(t) = t'k %3D d (t) • r2(t)]: dt
d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt 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 d dr2 ri(t) x r2(t)] =ri(t) × dri x r2(t). dt dt dt r1(t) = = 5ti + 9tj + 2t°k, r2(t) = t'k %3D d (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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Question
![d
Calculate ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating
d
dt
dt
the product directly and then by applying the formulas
d
dr2
dri
r(t) · r2(t)] = r1(t)·
dt
r2(t) and
dt
dt
d.
di ri(t) x r2(t)] =r¡(t) ×
dri
x r2(t).
dr2
dt
dt
ri(t) = 5ti + 9t²j+ 2t°k,
r2(t) = t*k
%3D
d
ri(t) · r2(t)]
dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff43459a9-0a38-4479-8682-7e77ce886487%2Fd6622dd7-9f0c-4ec1-8fb9-c65b83a353dc%2Fosan4y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:d
Calculate ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating
d
dt
dt
the product directly and then by applying the formulas
d
dr2
dri
r(t) · r2(t)] = r1(t)·
dt
r2(t) and
dt
dt
d.
di ri(t) x r2(t)] =r¡(t) ×
dri
x r2(t).
dr2
dt
dt
ri(t) = 5ti + 9t²j+ 2t°k,
r2(t) = t*k
%3D
d
ri(t) · r2(t)]
dt
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