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
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
[r₁(t) × r₂(t)] = r₁(t) × · + x r₂(t).
dt
dt dt
r₁(t) = cos(t)i + sin(t)j + 3tk,
r₂(t) = 2i + tk
d
dt
= [
d
dt
[r₁(t) · r₂(t)]
[ri(t) x r₂(t)]
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F134322a0-f519-4cf3-a71d-78cbbba7db19%2Fab6bbfc9-f2ae-4b4c-b934-34b3ac1fddfa%2F2rrf4h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:d
d
Calculate[ri(t) r2(t)] and [r₁(t) × r₂(t)] first by differentiating
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
[r₁(t) × r₂(t)] = r₁(t) × · + x r₂(t).
dt
dt dt
r₁(t) = cos(t)i + sin(t)j + 3tk,
r₂(t) = 2i + tk
d
dt
= [
d
dt
[r₁(t) · r₂(t)]
[ri(t) x r₂(t)]
=
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Follow-up Questions
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Follow-up Question
Hello, the answer is not correct.
![Find T(t) and N(t) at the given point.
r(t) = (t² − 2)i + tj; t = 2
T(2) =
4 i + j
√5
N(2) =
2
X
X](https://content.bartleby.com/qna-images/question/134322a0-f519-4cf3-a71d-78cbbba7db19/d2facb14-df54-4694-8b30-f6a55109ab36/r0d9jr7_thumbnail.jpeg)
Transcribed Image Text:Find T(t) and N(t) at the given point.
r(t) = (t² − 2)i + tj; t = 2
T(2) =
4 i + j
√5
N(2) =
2
X
X
Solution
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