Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by the graphs of the functions y=x², y = 8 x² and to the right of = 1 about the y-axis.
Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by the graphs of the functions y=x², y = 8 x² and to the right of = 1 about the y-axis.
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 39E: Find the exact volume of the solid that results when the rectangular region with vertices at 0, 0,...
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Can you show me how to solve this? I believe the radius to be (1+x) since it's once over and I believe the height to be (8-x2) however my answers don't match and I think I'm missing a step.
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