d d Calculate r1(t) · r2(t)] and dt ri(t) × r2(t)] first by differentiating dt the product directly and then by applying the formulas dr2 = ri(t)- d dri ri(t) r2(t)] = r1 · r2(t) and dt dt dt d dr2 [r(t) x r2(t)] = ri(t) x dt dri x r2(t). dt dt ri(t) = cos(t)i + sin(t)j+5tk, r2(t) = 4i + tk d [r:(t) · r2(t)] = d Iri(t) x r2(t)] dt

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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Question
d
d
Calculate r1(t) · r2(t)] and
dt
ri(t) × r2(t)] first by differentiating
dt
the product directly and then by applying the formulas
dr2
= ri(t)-
d
dri
ri(t) r2(t)] = r1
· r2(t) and
dt
dt
dt
d
dr2
[r(t) x r2(t)] = ri(t) x
dt
dri
x r2(t).
dt
dt
ri(t) = cos(t)i + sin(t)j+5tk, r2(t) = 4i + tk
d
[r:(t) · r2(t)] =
d
Iri(t) x r2(t)]
dt
Transcribed Image Text:d d Calculate r1(t) · r2(t)] and dt ri(t) × r2(t)] first by differentiating dt the product directly and then by applying the formulas dr2 = ri(t)- d dri ri(t) r2(t)] = r1 · r2(t) and dt dt dt d dr2 [r(t) x r2(t)] = ri(t) x dt dri x r2(t). dt dt ri(t) = cos(t)i + sin(t)j+5tk, r2(t) = 4i + tk d [r:(t) · r2(t)] = d Iri(t) x r2(t)] dt
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