2. Let R be the region bounded by the curves y = (x – 2)3 – 2, x = 0, and y = 25. Find the volume of the solid generated when R is revolved about the y-axis using: (а) the washer method. (b) the shell method.
2. Let R be the region bounded by the curves y = (x – 2)3 – 2, x = 0, and y = 25. Find the volume of the solid generated when R is revolved about the y-axis using: (а) the washer method. (b) the shell method.
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 37E: Find the exact volume of the solid that results when the triangular region with vertices at 0, 0, 5,...
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Let R be the region bounded by the curves y = (x – 2)3 – 2, x = 0, and y = 25.
Find the volume of the solid generated when R is revolved about the y-axis using:
(а)
the washer method.
(b)
the shell method.
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