Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3x6, y = 3x, x2 0; about the x-axis V = Sketch the region. y 2 2 1 1 -0.5 0.5 1.0 1.5 -0.5 0.5 1.0 1.5 3 3 2 -0.5 0.5 1.0 1.5 -0.5 0.5 1.0 1.5
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3x6, y = 3x, x2 0; about the x-axis V = Sketch the region. y 2 2 1 1 -0.5 0.5 1.0 1.5 -0.5 0.5 1.0 1.5 3 3 2 -0.5 0.5 1.0 1.5 -0.5 0.5 1.0 1.5
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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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 = 3x6, y = 3x, x2 0;
about the x-axis
V =
Sketch the region.
y
y
2
1
X
-0.5
0.5
1.0
1.5
-0.5
0.5
1.0
1.5
y
y
3
3
2
1
X
1.5
-0.5
0.5
1.0
-0.5
0.5
1.0
1.5
Transcribed Image Text:Sketch the solid, and a typical disk or washer.
y
y
3
2
1
-0.5
0.5
1.0
1.5
-0.5
0.5
1.0
1.5
-1
-1
-2
-2
-3
y
2
1
-0.5
0.5
1.0
1.5
-0.5
0.5
1.0
1.5
-1
-1
-2
-2
-3
-3
2.
2.
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