Find the volume of the solid generated by revolving the area bounded by the given curves about the indicated axis. 1. y = x2 – 2x, x – axis, ; about the x - axis 2. x + y = 6, y = 3, x = 0 ; about the y - axis 3. xy = 4, x = 2, y = 4, ; about y = 4 4. Show by integration that the volume of a sphere of radius r is V=nr3.
Find the volume of the solid generated by revolving the area bounded by the given curves about the indicated axis. 1. y = x2 – 2x, x – axis, ; about the x - axis 2. x + y = 6, y = 3, x = 0 ; about the y - axis 3. xy = 4, x = 2, y = 4, ; about y = 4 4. Show by integration that the volume of a sphere of radius r is V=nr3.
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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Question
Find the volume of the solid generated by revolving the area
bounded by the given curves about the indicated axis.
1. y = x2 – 2x, x – axis, ; about the x - axis
2. x + y = 6, y = 3, x = 0 ; about the y - axis
3. xy = 4, x = 2,
y = 4, ; about y = 4
4. Show by integration that the volume of a sphere of radius r is
V=nr3.
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