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Let 51 be the region bounded by y x 2 , y 0, and x b, where b . 0. Let 52 be the region

Single Variable Calculus: Early Transcendentals | 8th Edition | ISBN: 9781305270336 | Authors: James Stewart ISBN: 9781305270336 484

Solution for problem 34 Chapter 6

Single Variable Calculus: Early Transcendentals | 8th Edition

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Single Variable Calculus: Early Transcendentals | 8th Edition | ISBN: 9781305270336 | Authors: James Stewart

Single Variable Calculus: Early Transcendentals | 8th Edition

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Problem 34

Let 51 be the region bounded by y x 2 , y 0, and x b, where b . 0. Let 52 be the region bounded by y x 2 , x 0, and y b2 . (a) Is there a value of b such that 51 and 52 have the same area? (b) Is there a value of b such that 51 sweeps out the same volume when rotated about the x-axis and the y-axis? (c) Is there a value of b such that 51 and 52 sweep out the same volume when rotated about the x-axis? (d) Is there a value of b such that 51 and 52 sweep out the same volume when rotated about the y-axis?

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Chapter 6, Problem 34 is Solved
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Textbook: Single Variable Calculus: Early Transcendentals
Edition: 8
Author: James Stewart
ISBN: 9781305270336

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Let 51 be the region bounded by y x 2 , y 0, and x b, where b . 0. Let 52 be the region