Explanation Since the region between the graphs are obtained by revolving around the line y = − 3 , the volume is calculated using the formula π ∫ 0 1 ( ( f ( x ) + 3 ) 2 − ( g ( x ) + 3 ) 2 ) d x . Use the given table to find the volume using midpoint approximation. Given: The region between the graphs of f and g over [ 0 , 1 ] is revolved about the line y = − 3 and to use the midpoint approximation with the values given in the table below to estimate the volume of the resulting solid. Calculation: The volume of the resulting solid obtained by revolving the region between the graphs of f and g over [ 0 , 1 ] about the line y = − 3 is given by π

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 6.3, Problem 54E

To determine

To estimate the volume of the resulting solid using midpoint approximation.

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Chapter 6.3, Problem 53E

Chapter 6.3, Problem 55E

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To estimate the volume of the resulting solid using midpoint approximation.

Solution Summary: The author calculates the volume of the resulting solid using a midpoint approximation.

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To estimate the volume of the resulting solid using midpoint approximation.

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Chapter 6 Solutions