d Calculate r:(t) - r2(t)] and r:(t) x r2(t)] first by differentiating [ri(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d [r:(t) · r2(t)] = r1(t) · dr2 dri r2(t) and dt dt dt dr2 dr1 x r2(t). dt d [ri(t) × r2(t)] = r:(t) × dt dt ri(t) = cos(t)i + sin(t)j + 8tk, r2(t) = 7i + tk d [r1(t) · r2(t)] dt d [r(t) x r2(t)] = dt
d Calculate r:(t) - r2(t)] and r:(t) x r2(t)] first by differentiating [ri(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d [r:(t) · r2(t)] = r1(t) · dr2 dri r2(t) and dt dt dt dr2 dr1 x r2(t). dt d [ri(t) × r2(t)] = r:(t) × dt dt ri(t) = cos(t)i + sin(t)j + 8tk, r2(t) = 7i + tk d [r1(t) · r2(t)] dt d [r(t) x r2(t)] = dt
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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Question
![d
Calculate r:(t) - r2(t)] and r:(t) x r2(t)] first by differentiating
[ri(t) × r2(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
d
[r:(t) · r2(t)] = r1(t) ·
dr2
dri
r2(t) and
dt
dt
dt
dr2
dr1
x r2(t).
dt
d
[ri(t) × r2(t)] = r:(t) ×
dt
dt
ri(t) = cos(t)i + sin(t)j + 8tk,
r2(t) = 7i + tk
d
[r1(t) · r2(t)]
dt
d
[r(t) x r2(t)] =
dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbaaff10-9982-4717-b0a4-3bb1a057badf%2Fa9628cd1-0c28-4476-b252-c05be99fd880%2F6zg7q6r_processed.png&w=3840&q=75)
Transcribed Image Text:d
Calculate r:(t) - r2(t)] and r:(t) x r2(t)] first by differentiating
[ri(t) × r2(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
d
[r:(t) · r2(t)] = r1(t) ·
dr2
dri
r2(t) and
dt
dt
dt
dr2
dr1
x r2(t).
dt
d
[ri(t) × r2(t)] = r:(t) ×
dt
dt
ri(t) = cos(t)i + sin(t)j + 8tk,
r2(t) = 7i + tk
d
[r1(t) · r2(t)]
dt
d
[r(t) x r2(t)] =
dt
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