In Exercises 33-36, find the arc length of the graph of the parametric equations on the given interval(s). 33. x = -3 sin(2t), y = 3 cos(2t) on [0, π]
In Exercises 33-36, find the arc length of the graph of the parametric equations on the given interval(s). 33. x = -3 sin(2t), y = 3 cos(2t) on [0, π]
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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![In Exercises 33–36, find the arc length of the graph of the parametric equations on the given interval(s).
33. \( x = -3 \sin(2t), \quad y = 3 \cos(2t) \) on \([0, \pi]\)
34. \( x = e^{t/10} \cos t, \quad y = e^{t/10} \sin t \) on \([0, 2\pi]\) and \([2\pi, 4\pi]\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F400b9bd7-cb38-477d-bca9-0a4702f014e3%2F2877eaae-f8d0-4f2a-a58b-f0864aaf16e9%2Fb4vylwc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In Exercises 33–36, find the arc length of the graph of the parametric equations on the given interval(s).
33. \( x = -3 \sin(2t), \quad y = 3 \cos(2t) \) on \([0, \pi]\)
34. \( x = e^{t/10} \cos t, \quad y = e^{t/10} \sin t \) on \([0, 2\pi]\) and \([2\pi, 4\pi]\)
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