Explanation Graphically plot the given curves and obtain the point of intersection to find the volume of the solid of rotation. Given: y = 1 2 x 2 , y = sin ( x 2 ) , x ≥ 0 Calculation: The points of intersection of the curves y = 1 2 x 2 , y = sin ( x 2 ) , x ≥ 0 is determined in the graph below: The x -coordinate is hence 1

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Question

Chapter 6.4, Problem 13E

To determine

The volume of rotation of the enclosed region about the y -axis after finding the points of intersection of the curves given numerically, using a graphing utility.

Solution:

The volume of the solid thus obtained is 1.3219751 .

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Chapter 6.4, Problem 12E

Chapter 6.4, Problem 14E

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Chapter 6 Solutions

Calculus - Standalone book

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The volume of rotation of the enclosed region about the y -axis after finding the points of intersection of the curves given numerically, using a graphing utility. Solution: The volume of the solid thus obtained is 1.3219751 .

Solution Summary: The author explains how to determine the volume of rotation of the enclosed region about the y -axis using a graphing utility.