A region bounded by f(x) 8 7 6 Find the volume of the solid formed by revolving the region about the y-axis. 5 4 3 2 1 X -2-11 1 2 3 4 5 6 7 8 -2 O V = 64 V = V = 364 3 193 3 OV=81 TU = T -1/2 x x + 5, y = 1, y = 4, and x = 1 is shown below.

A region bounded by f(x) 8 7 6 Find the volume of the solid formed by revolving the region about the y-axis. 5 4 3 2 1 X -2-11 1 2 3 4 5 6 7 8 -2 O V = 64 V = V = 364 3 193 3 OV=81 TU = T -1/2 x x + 5, y = 1, y = 4, and x = 1 is shown below.

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

Please explain how to solve, thank you!

A region bounded by f(x)
8
7
6
Find the volume of the solid formed by revolving the region about the y-axis.
5
4
3
2
1
X
-2-11 1 2 3 4 5 6 7 8
-2
O V = 64
V =
V =
364
3
193
3
OV=81
TU
=
T
-1/2 x
x + 5, y = 1, y = 4, and x = 1 is shown below.

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