Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved about the given axis. If possible, find the volume of S by both the disk/washer and shell methods. Check that your results agree y = (x-4) - 1 x = 0, y = 63 revolved about the y-axis Set up the integral(s) that gives the volume of the solid as a single integral if possible using the disk/washer method. Use increasing limits of integration. Select the correct choice below and fill in any answer boxes within your choice DA SOD dy + SO UB. dy (Type exact answers.) [ C) dy (Type exact answers ) Set up the integral(s) that gives the volume of the solid as a single integral if possible using the shell method. Use increasing limits of integration. Select the correct choice below and fill in any answer boxes within your choice. OA. dx (Type exact answers.) OB. dx+ SO dx (Type exact answers.) The volume of the solid is (Type an exact answer.)

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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Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved about the given axis. If possible, find the volume of S by both the disk/washer and shell methods. Check that your results agree
y = (x-4) - 1 x = 0, y = 63 revolved about the y-axis
Set up the integral(s) that gives the volume of the solid as a single integral if possible using the disk/washer method. Use increasing limits of integration. Select the correct choice below and fill in any answer boxes within your choice
DA SOD dy + SO
UB.
dy (Type exact answers.)
[ C) dy (Type exact answers )
Set up the integral(s) that gives the volume of the solid as a single integral if possible using the shell method. Use increasing limits of integration. Select the correct choice below and fill in any answer boxes within your choice.
OA.
dx (Type exact answers.)
OB.
dx+
SO
dx (Type exact answers.)
The volume of the solid is
(Type an exact answer.)
Transcribed Image Text:Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved about the given axis. If possible, find the volume of S by both the disk/washer and shell methods. Check that your results agree y = (x-4) - 1 x = 0, y = 63 revolved about the y-axis Set up the integral(s) that gives the volume of the solid as a single integral if possible using the disk/washer method. Use increasing limits of integration. Select the correct choice below and fill in any answer boxes within your choice DA SOD dy + SO UB. dy (Type exact answers.) [ C) dy (Type exact answers ) Set up the integral(s) that gives the volume of the solid as a single integral if possible using the shell method. Use increasing limits of integration. Select the correct choice below and fill in any answer boxes within your choice. OA. dx (Type exact answers.) OB. dx+ SO dx (Type exact answers.) The volume of the solid is (Type an exact answer.)
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