Set up integrals to find the volumes of the solids formed by revolving the region bounded by the graphs of y = 16 – x² and y = 0 about the following lines: y = -5: Volume is dx where a = and b = y = 32: Volume is dx where a = and b = x = 8: Volume is dy where a = H and b =

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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Set up integrals to find the volumes of the solids formed by revolving the region bounded by the graphs of y = 16 – x2 and y = 0 about the following
lines:
y = -5: Volume is
dx where a =
and b =
a
y = 32: Volume is
dx where a =
and b =
x = 8: Volume is
dy where a =
and b =
Transcribed Image Text:Set up integrals to find the volumes of the solids formed by revolving the region bounded by the graphs of y = 16 – x2 and y = 0 about the following lines: y = -5: Volume is dx where a = and b = a y = 32: Volume is dx where a = and b = x = 8: Volume is dy where a = and b =
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