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Set up the integrals to find the volume generated by revolving the region bounded by y 4 – 2x and y = 4 – x² around the line x = 3 using:

Set up the integrals to find the volume generated by revolving the region bounded by y 4 – 2x and y = 4 – x² around the line x = 3 using:

Elementary Geometry For College Students, 7e
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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Focuses on cylindrical shells

Set up the integrals to find the volume generated by revolving the region bounded by y = 3 using: 4 – 2x and y = 4 – x² around the line x = (a) slices (or washers), and (b) cylindrical shells. Evaluate the integral you found with cylindrical shells. (You can check your work by solving the integral in (a)).
Transcribed Image Text:Set up the integrals to find the volume generated by revolving the region bounded by y = 3 using: 4 – 2x and y = 4 – x² around the line x = (a) slices (or washers), and (b) cylindrical shells. Evaluate the integral you found with cylindrical shells. (You can check your work by solving the integral in (a)).
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