d d Calculate[ri(t) r₂(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt the product directly and then by applying the formulas d dr₂ dr₁ [r₁(t) · r2(t)] = r₁(t) · + r₂(t) and dt dt dt d dr₂ dr₁ [r₁(t) × r₂(t)] = r₁(t) × + x r₂(t). dt dt dt r₁(t) = cos(t)i + sin(t)j +8tk, r₂(t) = 7i+ tk d 77 [r₁(t) · r₂(t)] = = [ dt
d d Calculate[ri(t) r₂(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt the product directly and then by applying the formulas d dr₂ dr₁ [r₁(t) · r2(t)] = r₁(t) · + r₂(t) and dt dt dt d dr₂ dr₁ [r₁(t) × r₂(t)] = r₁(t) × + x r₂(t). dt dt dt r₁(t) = cos(t)i + sin(t)j +8tk, r₂(t) = 7i+ tk d 77 [r₁(t) · 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
d
Calculate[ri(t) r₂(t)] and[r₁(t) × r₂(t)] first by differentiating
dt
the product directly and then by applying the formulas
d
dr₂ dr₁
[r₁(t) · r2(t)] = r₁(t) · + r₂(t) and
dt
dt dt
d
dr₂ dr₁
[r₁(t) × r₂(t)] = r₁(t) × + x r₂(t).
dt
dt dt
r₁(t) = cos(t)i + sin(t)j +8tk, r₂(t) = 7i+ tk
d
#7[r₁(t) · r2(t)] =
=
dt
d
[r₁(t) × r₂(t)] =
=
dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58c54242-bfdd-4016-81ca-b5fe98d96c33%2F32eb2f3d-e317-4e69-b005-6b6dbf807c96%2Fehpfy2f_processed.png&w=3840&q=75)
Transcribed Image Text:d
d
Calculate[ri(t) r₂(t)] and[r₁(t) × r₂(t)] first by differentiating
dt
the product directly and then by applying the formulas
d
dr₂ dr₁
[r₁(t) · r2(t)] = r₁(t) · + r₂(t) and
dt
dt dt
d
dr₂ dr₁
[r₁(t) × r₂(t)] = r₁(t) × + x r₂(t).
dt
dt dt
r₁(t) = cos(t)i + sin(t)j +8tk, r₂(t) = 7i+ tk
d
#7[r₁(t) · r2(t)] =
=
dt
d
[r₁(t) × r₂(t)] =
=
dt
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