(a) Find the region enclosedR by the curves y = x2 – 2x +1 and y = -x² + 2x +7. (b) Use shell method to find the volume of the solid which is obtained by rotating the r region R around x = = 5. (c) Use washer method to find the volume of the solid which is obtained by rotating C the region R around y = -1.

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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(a) Find the region enclosed R by the curves y = x2 – 2x +1 and y = -x² + 2x + 7.
(b) Use shell method to find the volume of the solid which is obtained by rotating the r
region R around x =
=5.
(c) Use washer method to find the volume of the solid which is obtained by rotating
the region R around y = -1.
Transcribed Image Text:(a) Find the region enclosed R by the curves y = x2 – 2x +1 and y = -x² + 2x + 7. (b) Use shell method to find the volume of the solid which is obtained by rotating the r region R around x = =5. (c) Use washer method to find the volume of the solid which is obtained by rotating the region R around y = -1.
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