d d Calculate[ri(t) r2(t)] and[ri(t) r2(t)] first by differentiating 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 dr₂ dri [ri(t) x r₂(t)] = r₁(t) x + x r₂(t). dt dt dt r₁(t) = 9ti + 4t²j+ 3t³k, r₂(t) = t¹k
d d Calculate[ri(t) r2(t)] and[ri(t) r2(t)] first by differentiating 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 dr₂ dri [ri(t) x r₂(t)] = r₁(t) x + x r₂(t). dt dt dt r₁(t) = 9ti + 4t²j+ 3t³k, r₂(t) = t¹k
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
![r₁(t) = 9ti + 4t²j + 3t³k,
deri(t).
[ri(t) r₂(t)]
d
dt
=
[r₁(t) × r₂(t)] =
=
[
r₂(t) = t¹k](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcdb9e9cb-6c4f-48f1-bec6-84c7b9f4766f%2Fdc94fcfb-4a00-4919-b19a-b93d4d93683a%2F5h5enl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:r₁(t) = 9ti + 4t²j + 3t³k,
deri(t).
[ri(t) r₂(t)]
d
dt
=
[r₁(t) × r₂(t)] =
=
[
r₂(t) = t¹k
![d
d
Calculate[ri(t) r₂(t)] and
dt
[r₁(t) × r₂(t)] first by differentiating
diri(t)
the product directly and then by applying the formulas
d
dr₂ dri
[r₁(t) · r₂(t)] = r₁(t) · + r₂(t) and
dt
dt dt
d
dr₂
dri
[r₁(t) × r₂(t)] = r₁(t) × + x r₂(t).
dt
dt dt
r₁(t) = 9ti + 4t²j + 3t³k, r₂(t) = ¹k](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcdb9e9cb-6c4f-48f1-bec6-84c7b9f4766f%2Fdc94fcfb-4a00-4919-b19a-b93d4d93683a%2Fe131hd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:d
d
Calculate[ri(t) r₂(t)] and
dt
[r₁(t) × r₂(t)] first by differentiating
diri(t)
the product directly and then by applying the formulas
d
dr₂ dri
[r₁(t) · r₂(t)] = r₁(t) · + r₂(t) and
dt
dt dt
d
dr₂
dri
[r₁(t) × r₂(t)] = r₁(t) × + x r₂(t).
dt
dt dt
r₁(t) = 9ti + 4t²j + 3t³k, r₂(t) = ¹k
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