2. Set up, but do not evaluate, the volume of the solids generated by rotating the regions bounded by y = Va - 2, the r- and y-axes about the following lines using both the washer/disc and cylindrical shell methods. Provide a sketch of the region, a washer/disc or a cylinder for each case and indicate the dimensions needed for the set up. Simplify the integrands. (a) The r-axis. (b) y = 2

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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2. Set up, but do not evaluate, the volume of the solids generated by rotating the regions bounded
by y = Va – 2, the x- and y-axes about the following lines using both the washer/disc and
cylindrical shell methods. Provide a sketch of the region, a washer/disc or a cylinder for each
case and indicate the dimensions needed for the set up. Simplify the integrands.
(a) The r-axis.
(b) y = 2
Transcribed Image Text:2. Set up, but do not evaluate, the volume of the solids generated by rotating the regions bounded by y = Va – 2, the x- and y-axes about the following lines using both the washer/disc and cylindrical shell methods. Provide a sketch of the region, a washer/disc or a cylinder for each case and indicate the dimensions needed for the set up. Simplify the integrands. (a) The r-axis. (b) y = 2
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