egion R at the indicated axis. O R is the region bounded by x = y² + 1 and x = 9 – y² and the axis of revolution is x = 9. O Set-up the integral that represents V(S) when the region R in item 1. is revolved about y = 3. O R is the region bounded by y = 4 – x2 and the x-axis and it is revolved about y = 4. O Set-up the integral that represents V(S) when the region R in item 3. is revolved about r = -2. O R is the region bounded by y = -x² – 3x + 6 and x + y – 3 = 0 and it is revolved about x = -4.

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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Find the volume V (S) of the solid S generated by revolving the given
region R at the indicated axis.
R is the region bounded by x = y² + 1 and x = 9 – y² and the axis
of revolution is x = 9.
Set-up the integral that represents V(S) when the region R in item 1.
is revolved about y = 3.
O R is the region bounded by y = 4 – x² and the x-axis and it is
revolved about y = 4.
Set-up the integral that represents V(S) when the region R in item 3.
is revolved about x = -2.
R is the region bounded by y = -x² – 3x + 6 and x + y – 3 = 0 and
it is revolved about x = –4.
Transcribed Image Text:Find the volume V (S) of the solid S generated by revolving the given region R at the indicated axis. R is the region bounded by x = y² + 1 and x = 9 – y² and the axis of revolution is x = 9. Set-up the integral that represents V(S) when the region R in item 1. is revolved about y = 3. O R is the region bounded by y = 4 – x² and the x-axis and it is revolved about y = 4. Set-up the integral that represents V(S) when the region R in item 3. is revolved about x = -2. R is the region bounded by y = -x² – 3x + 6 and x + y – 3 = 0 and it is revolved about x = –4.
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