d d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas dr2 dri d. [r:(t) · r2(t)] = r1(t) · r2(t) and dt dt dt dr2 dri d r1(t) × r2(t)] = ri(t) × x r2(t). dt dt dt r1(t) = cos(t)i + sin(t)j+ 6tk, r2(t) = 5i + tk d ri(t) · r2(t)] =| -5 sin(t)+ 12 t dt d [ri(t) × r2(t)] = (sin(t) +t cos(t)) i + (– cos(t) + t sin(t) j + 30) j – 5 cos (t) dt
d d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas dr2 dri d. [r:(t) · r2(t)] = r1(t) · r2(t) and dt dt dt dr2 dri d r1(t) × r2(t)] = ri(t) × x r2(t). dt dt dt r1(t) = cos(t)i + sin(t)j+ 6tk, r2(t) = 5i + tk d ri(t) · r2(t)] =| -5 sin(t)+ 12 t dt d [ri(t) × r2(t)] = (sin(t) +t cos(t)) i + (– cos(t) + t sin(t) j + 30) j – 5 cos (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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pls find "r1(t) x r2(t)"
![d
d
Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
dr2
dri
d.
[r:(t) · r2(t)] = r1(t) ·
r2(t) and
dt
dt
dt
dr2
dri
d
r1(t) × r2(t)] = ri(t) ×
x r2(t).
dt
dt
dt
r1(t) = cos(t)i + sin(t)j+ 6tk, r2(t) = 5i + tk
d
ri(t) · r2(t)] =| -5 sin(t)+ 12 t
dt
d
[ri(t) × r2(t)] = (sin(t) +t cos(t)) i + (– cos(t) + t sin(t) j + 30) j – 5 cos (t)
dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2f07939d-8215-4f07-ade4-f41e97014ff5%2F49db27fc-1ab7-44f4-854b-f456916628aa%2F4j7pqz_processed.png&w=3840&q=75)
Transcribed Image Text:d
d
Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
dr2
dri
d.
[r:(t) · r2(t)] = r1(t) ·
r2(t) and
dt
dt
dt
dr2
dri
d
r1(t) × r2(t)] = ri(t) ×
x r2(t).
dt
dt
dt
r1(t) = cos(t)i + sin(t)j+ 6tk, r2(t) = 5i + tk
d
ri(t) · r2(t)] =| -5 sin(t)+ 12 t
dt
d
[ri(t) × r2(t)] = (sin(t) +t cos(t)) i + (– cos(t) + t sin(t) j + 30) j – 5 cos (t)
dt
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