d Calculate ri(t) · r2(t)] and d ri(t) x r2(t)] first by differentiating 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. [r(t) x r2(t)] = ri(t) x dr2, dri x r2(t). dt dt dt ri(t) = cos(t)i + sin(t)j + 2tk, r2(t) = i+ tk d d r:(t) · r2(t)] d In (+) (+)1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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d
d
Calculate ri(t) · r2(t)] and
dt'
r:(t) x r2(t)] first by differentiating
dt
the product directly and then by applying the formulas
d.
dri
r(t) - r2(t)] = r1(t) ·
dr2
+
dt
r2(t) and
dt
dt
d.
dr2
dri
[r1(t) x r2(t)] = r:(t) x
dt
x r2(t).
dt
dt
ri(t) = cos(t)i + sin(t)j + 2tk, r2(t) = i+ tk
d
dri(t) · r2(t)]
d
dt
r:(t) × r2(t)]
Transcribed Image Text:d d Calculate ri(t) · r2(t)] and dt' r:(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas d. dri r(t) - r2(t)] = r1(t) · dr2 + dt r2(t) and dt dt d. dr2 dri [r1(t) x r2(t)] = r:(t) x dt x r2(t). dt dt ri(t) = cos(t)i + sin(t)j + 2tk, r2(t) = i+ tk d dri(t) · r2(t)] d dt r:(t) × r2(t)]
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