Find the volume of the solid generated by revolving the region bounded on the left by the parabola x = y2 + 1 and on the right by the line x = 5 about (a) the x-axis; (b) the y-axis; (c) the line x = 5.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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Find the volume of the solid generated by revolving the region bounded on the left by the parabola x = y2 + 1 and on the right by the line x = 5 about (a) the x-axis; (b) the y-axis; (c) the line x = 5.

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find the volume of the solid generated by revolving the region in the first quadrant bounded above by the cure y=x^2, below by the x axis and on the right by the line x=1, about the line x=-1

 

 

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