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2. For this entire page, let r(t) = (4 sin(t), 3t, 4 cos(t)) (a) Circle the correct graph for the curve traced by r(t) for 0 ≤ t ≤ 4T. Z Y O. W Z Y Х (b) Calculate the vector r(0). Draw this vector in an appropriate location on your chosen graph above. x Y X (c) Calculate the vector r'(0). Draw this vector in an appropriate location on your chosen graph above. (d) Calculate the arc length of this curve from 0 ≤t≤ 47. Show all your work and give an exact answer.

2. For this entire page, let r(t) = (4 sin(t), 3t, 4 cos(t)) (a) Circle the correct graph for the curve traced by r(t) for 0 ≤ t ≤ 4T. Z Y O. W Z Y Х (b) Calculate the vector r(0). Draw this vector in an appropriate location on your chosen graph above. x Y X (c) Calculate the vector r'(0). Draw this vector in an appropriate location on your chosen graph above. (d) Calculate the arc length of this curve from 0 ≤t≤ 47. Show all your work and give an exact answer.

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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2. For this entire page, let r(t) = (4 sin(t), 3t, 4 cos(t)) (a) Circle the correct graph for the curve traced by r(t) for 0 ≤ t ≤ 4T. Z Y O. W Z Y Х (b) Calculate the vector r(0). Draw this vector in an appropriate location on your chosen graph above. x Y X (c) Calculate the vector r'(0). Draw this vector in an appropriate location on your chosen graph above. (d) Calculate the arc length of this curve from 0 ≤t≤ 47. Show all your work and give an exact answer.
Transcribed Image Text:2. For this entire page, let r(t) = (4 sin(t), 3t, 4 cos(t)) (a) Circle the correct graph for the curve traced by r(t) for 0 ≤ t ≤ 4T. Z Y O. W Z Y Х (b) Calculate the vector r(0). Draw this vector in an appropriate location on your chosen graph above. x Y X (c) Calculate the vector r'(0). Draw this vector in an appropriate location on your chosen graph above. (d) Calculate the arc length of this curve from 0 ≤t≤ 47. Show all your work and give an exact answer.
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