Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y = 6x +7 and the parabola y = x about the fll lines. a. The line x = 7 b. The line x= - 1 c. The x-axis d. The line y = 49 с. 2048T (a) The volume of the given solid is 3 (Type an exact answer in terms of r.) 2048A (b) The volume of the given solid is 3 (Type an exact answer in terms of r.) 158721 (c) The volume of the given solid is (Type an exact answer in terms of r.) (d) The volume of the given solid is (Type an exact answer in terms of T.)

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 shell method to find the volume of the solid generated by revolving the region bounded by the line y = 6x +7 and the parabola y = x about the following
lines.
a. The line x = 7
b. The line x= - 1
c. The x-axis
d. The line y = 49
с.
2048T
(a) The volume of the given solid is
3
(Type an exact answer in terms of r.)
2048A
(b) The volume of the given solid is
3
(Type an exact answer in terms of r.)
158721
(c) The volume of the given solid is
(Type an exact answer in terms of r.)
(d) The volume of the given solid is
(Type an exact answer in terms of T.)
Transcribed Image Text:Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y = 6x +7 and the parabola y = x about the following lines. a. The line x = 7 b. The line x= - 1 c. The x-axis d. The line y = 49 с. 2048T (a) The volume of the given solid is 3 (Type an exact answer in terms of r.) 2048A (b) The volume of the given solid is 3 (Type an exact answer in terms of r.) 158721 (c) The volume of the given solid is (Type an exact answer in terms of r.) (d) The volume of the given solid is (Type an exact answer in terms of T.)
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