Find the volume of the solid of revolution generated when the area described is rotated about the x-axis. a.) The area between the curve y = x and the ordinates x = 0 and x =4 b.) The area between the curve y = x3/2 and the ordinates x = 1 and x = 3 c.) The area between the curve x2 + y2 + 16 and the ordinates x = -1 and x = 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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Find the volume of the solid of revolution generated when the area described is rotated about the x-axis.
a.) The area between the curve y = x and the ordinates x = 0 and x =4

b.) The area between the curve y = x3/2 and the ordinates x = 1 and x = 3

c.) The area between the curve x2 + y2 + 16 and the ordinates x = -1 and x = 1

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