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4) Let R be the region bounded by y = 4 - x² and the x-axis where 0 < x < 2. a) Use the method of disks to find the volume of the solid obtained by rotating R about the y-axis. b) Use the method of cylindrical shells to find the volume of the solid obtained by rotating R about the y-axis.

4) Let R be the region bounded by y = 4 - x² and the x-axis where 0 < x < 2. a) Use the method of disks to find the volume of the solid obtained by rotating R about the y-axis. b) Use the method of cylindrical shells to find the volume of the solid obtained by rotating R about the y-axis.

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 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Disk vs Shell Method about the y-axis

4) Let R be the region bounded by y = 4 - x² and the x-axis where 0 < x< 2. a) Use the method of disks to find the volume of the solid obtained by rotating R about the y-axis. b) Use the method of cylindrical shells to find the volume of the solid obtained by rotating R about the y-axis.
Transcribed Image Text:4) Let R be the region bounded by y = 4 - x² and the x-axis where 0 < x< 2. a) Use the method of disks to find the volume of the solid obtained by rotating R about the y-axis. b) Use the method of cylindrical shells to find the volume of the solid obtained by rotating R about the y-axis.
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