h3answer #3 please Find the volume V (S) of the solid S generated by revolving the givenregion R at the indicated axis.R is the region bounded by x = y² + 1 and x = 9 – y² and the axisof 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 isrevolved 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 andit is revolved about x = –4.

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Answered: R is the region bounded by y = 4 – x²…

R is the region bounded by y = 4 – x² and the x-axis and it is revolved about y = 4. Sot un the inteoral that roprecents V(S when the region R in item ?

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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Question

answer #3 please

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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