Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.y = In(5x), y = 1, y = 2, x = 0; about the y-axisV =Sketch the region.yy3-3|-1.0 -0.50.51.01.52.02.5-1.0 -0.50.51.01.52.02.5-1|yy1.51.5F1.01.00.50.5-134-134-0.5-0.5-1.0--1.0Sketch the solid and a typical disk or washer.yy3-1.51.020.5-113-0.5x-1.5-1.0-0.50.51.01.5-1.0-1.5yy3-1.51.020.5-1-0.5-1.5-1.0-0.50.51.01.5-1.0-1.5-1

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Answered: Find the volume v of the solid obtained…

Find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. y = In(5x), y = 1, y = 2, x = 0; about the y-axis V = Sketch the region. y 31 31

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

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = In(5x), y = 1, y = 2, x = 0; about the y-axis
V =
Sketch the region.
y
y
3-
3|
-1.0 -0.5
0.5
1.0
1.5
2.0
2.5
-1.0 -0.5
0.5
1.0
1.5
2.0
2.5
-1|
y
y
1.5
1.5F
1.0
1.0
0.5
0.5
-1
3
4
-1
3
4
-0.5
-0.5
-1.0-
-1.0
Sketch the solid and a typical disk or washer.
y
y
3-
1.5
1.0
2
0.5
-1
1
3
-0.5
x
-1.5
-1.0
-0.5
0.5
1.0
1.5
-1.0
-1.5
y
y
3-
1.5
1.0
2
0.5
-1
-0.5
-1.5
-1.0
-0.5
0.5
1.0
1.5
-1.0
-1.5
-1

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