Explanation Given: Enclosed figure by the graph y = cos ( x 2 ) , y = 0 , 0 ≤ x ≤ π / 2 , y − axis Calculation: The volume of rotation of enclosed region by given graph about y -axis. First we draw the figure of the solid. The volume of solid form by rotation of enclosed region by graphs y = cos ( x 2 ) , y = 0 , 0 ≤ x ≤ π / 2 , y − axis Using Shell method the volume of solid, V = ∫ a b 2 π r h d x about y − axis Where, a = 0 , b = π 2 , r = x , h = cos ( x 2 ) dx is thickness of the shell

4th Edition

ISBN: 9781319434526

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 6, Problem 39CRE

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To find the volume of revolution of the enclosed region by functions about y -axis.

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Chapter 6, Problem 38CRE

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Chapter 6 Solutions

CALCULUS 4E (LL) W/ ACHIEVE ACCESS

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 find the volume of revolution of the enclosed region by functions about y -axis.

Solution Summary: The author explains how to find the volume of revolution of the enclosed region by functions about y -axis.

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To find the volume of revolution of the enclosed region by functions about y -axis.

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Chapter 6 Solutions