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For the given position vectors r(t), compute the (tangent) velocity vector r' (t) for the given value of t. A) Let r(t) = (cos 5t, sin 5t). Then r'()= ( B) Let r(t) = (t², t³). Then r'(4)= ( C) Let r(t) = eſti +e ¹j+tk. Then r'(4)= i+ j+ )? )? k?

For the given position vectors r(t), compute the (tangent) velocity vector r' (t) for the given value of t. A) Let r(t) = (cos 5t, sin 5t). Then r'()= ( B) Let r(t) = (t², t³). Then r'(4)= ( C) Let r(t) = eſti +e ¹j+tk. Then r'(4)= i+ j+ )? )? k?

Calculus: Early Transcendentals
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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For the given position vectors r(t), compute the (tangent) velocity vector r' (t) for the given value of t. A) Let r(t) = (cos 5t, sin 5t). Then r'()= ( B) Let r(t) = (t², t³). Then r'(4)= ( C) Let r(t) = eſti +e ¹j+tk. Then r'(4)= i+ j+ )? )? k?
Transcribed Image Text:For the given position vectors r(t), compute the (tangent) velocity vector r' (t) for the given value of t. A) Let r(t) = (cos 5t, sin 5t). Then r'()= ( B) Let r(t) = (t², t³). Then r'(4)= ( C) Let r(t) = eſti +e ¹j+tk. Then r'(4)= i+ j+ )? )? k?
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