Use the method of rings (washers) to find the volume of the solid generated when the region bounded by y= x² +1, the line x- y=-3, is rotated about the x-axis.

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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Use the method of rings (washers) to find the volume of the solid generated when the
region bounded by y= x +1, the line x- y = -3, is rotated about the x-axis.
Use the method of disks to find the volume generated when the region bounded by
x= y' and x = 4 is rotated about the line x= 4.
Transcribed Image Text:Use the method of rings (washers) to find the volume of the solid generated when the region bounded by y= x +1, the line x- y = -3, is rotated about the x-axis. Use the method of disks to find the volume generated when the region bounded by x= y' and x = 4 is rotated about the line x= 4.
In each case, setup a definite integral that when evaluated gives the volume of the
solid generated when the region pictured below is rotated about the indicated line.
Use the method indicated. You need not evaluate these integrals.
y
x = 7
- y = Vx+1
X
About the line x=7; Disks
About the line y =3; Rings
Transcribed Image Text:In each case, setup a definite integral that when evaluated gives the volume of the solid generated when the region pictured below is rotated about the indicated line. Use the method indicated. You need not evaluate these integrals. y x = 7 - y = Vx+1 X About the line x=7; Disks About the line y =3; Rings
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