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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: (a) slices (or washers), and (b) cylindrical shells.

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: (a) slices (or washers), and (b) cylindrical shells.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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Washers and cylindrical shells method

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: (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 4 – 2x and y = 4 – x² around the line x 3 using: (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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