Explanation After sketching the enclosed region, the volume of the solid obtained by rotation about the x -axis is calculated by the Shell Method, after determining the radius and height of the solid. Given: x = 1 4 y + 1 , x = 3 − 1 4 y , y = 0 Calculation: The sketch of the region x = 1 4 y + 1 , x = 3 − 1 4 y , y = 0 is given below: When this region is rotated about the x -axis, each shell has radius y and height 2 − 1 2 y

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 6.4, Problem 22E

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The sketch of the enclosed region and use the Shell Method to calculate the volume of rotation about the $x$ -axis.

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Chapter 6.4, Problem 21E

Chapter 6.4, Problem 23E

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Chapter 6 Solutions

Calculus - Standalone book

Ch. 6.1 - Prob. 1PQ Ch. 6.1 - Prob. 2PQ Ch. 6.1 - Prob. 3PQ Ch. 6.1 - Prob. 4PQ Ch. 6.1 - Prob. 5PQ Ch. 6.1 - Prob. 6PQ Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E

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The sketch of the enclosed region and use the Shell Method to calculate the volume of rotation about the x -axis.

Solution Summary: The author calculates the volume of the solid obtained by rotation about the x -axis by using the Shell Method.

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The sketch of the enclosed region and use the Shell Method to calculate the volume of rotation about the $x$ -axis.

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Chapter 6 Solutions

The sketch of the enclosed region and use the Shell Method to calculate the volume of rotation about the x -axis.

Solution Summary: The author calculates the volume of the solid obtained by rotation about the x -axis by using the Shell Method.

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The sketch of the enclosed region and use the Shell Method to calculate the volume of rotation about the x-axis.

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Chapter 6 Solutions

The sketch of the enclosed region and use the Shell Method to calculate the volume of rotation about the $x$ -axis.