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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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
Transcribed Image Text: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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