Explanation The sketch of the solid obtained by rotation is determined and then we use the Shell Method to obtain its volume after calculating its height and radius. Given: f ( x ) = x 2 + 9 over the interval [ 0 , 3 ] . Calculation: The sketch of the solid obtained is shown below: The shell has radius x and height x 2 + 9 therefore the volume of the solid is given by 2 π ∫ 0 3 x ( x 2 + 9

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 6.4, Problem 5E

To determine

To sketch the solid obtained by rotating the region underneath the graph of the function over the given interval about the $y$ -axis and also find its volume.

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Chapter 6.4, Problem 4E

Chapter 6.4, Problem 6E

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Chapter 6 Solutions

CALCULUS (CLOTH)

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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To sketch the solid obtained by rotating the region underneath the graph of the function over the given interval about the y -axis and also find its volume.

Solution Summary: The author explains how the sketch of the solid obtained by rotation is determined and then uses the Shell Method to obtain its volume after calculating its height and radius

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To sketch the solid obtained by rotating the region underneath the graph of the function over the given interval about the $y$ -axis and also find its volume.

Want to see the full answer?

Chapter 6 Solutions

To sketch the solid obtained by rotating the region underneath the graph of the function over the given interval about the y -axis and also find its volume.

Solution Summary: The author explains how the sketch of the solid obtained by rotation is determined and then uses the Shell Method to obtain its volume after calculating its height and radius

Concept explainers

Videos

To sketch the solid obtained by rotating the region underneath the graph of the function over the given interval about the y-axis and also find its volume.

Want to see the full answer?

Chapter 6 Solutions

To sketch the solid obtained by rotating the region underneath the graph of the function over the given interval about the $y$ -axis and also find its volume.