Use the Shell Method to find the volume of the solid obtained by rotating the region A in the figure about x = -3. y = x² +b A B Assume b = 3, a = 8.

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 39E: Find the exact volume of the solid that results when the rectangular region with vertices at 0, 0,...
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Find the volume of the solid obtained by rotating the region enclosed by the graphs about the axis.
f(x) = ,
4
x2 :
g(x) = 5 – x², x > 0, about x = -1
Transcribed Image Text:Find the volume of the solid obtained by rotating the region enclosed by the graphs about the axis. f(x) = , 4 x2 : g(x) = 5 – x², x > 0, about x = -1
Use the Shell Method to find the volume of the solid obtained by rotating the region A in the figure about x = -3.
y
y = x² +b
A
b
B
Assume b = 3, a = 8.
Transcribed Image Text:Use the Shell Method to find the volume of the solid obtained by rotating the region A in the figure about x = -3. y y = x² +b A b B Assume b = 3, a = 8.
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