Question 8: The curve C in the ry-plane is parameterized by r (t). Find a parameterization of the tangent line t E at (0, 1,0). A e (t) = (4t, 4te2 +1, 2t cos(t)) ® i (t) = (4t, 4t + 1, 21) O e (t) = (4, t + 4, 2) %3D De(t) = (4, 4e²24 + 1,2 cos(t)) E e (t) = (4t, 4t – 1, 2t) F None of these
Question 8: The curve C in the ry-plane is parameterized by r (t). Find a parameterization of the tangent line t E at (0, 1,0). A e (t) = (4t, 4te2 +1, 2t cos(t)) ® i (t) = (4t, 4t + 1, 21) O e (t) = (4, t + 4, 2) %3D De(t) = (4, 4e²24 + 1,2 cos(t)) E e (t) = (4t, 4t – 1, 2t) F None of these
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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
Transcribed Image Text:Question 8: The curve C in the ry-plane is parameterized by r(t). Find a parameterization of the tangent line to
C at (0, 1,0).
@ 7(t) = (4t, 4te2t +1, 2t cos(t))
® 7 (t) = (4t, 4t + 1, 24)
e (t) = (4, t + 4, 2)
%3D
De (t) = (4, 4e²t +1,2 cos(t))
E 7 (t) = (4t, 4t – 1, 2t)
F None of these

Transcribed Image Text:suppose that r'(t) = (4, 4e²ª , 2 cos(t)) and F(0) = (0, 1,0).
%3D
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