Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. 2x = y², x = 0, y = 5; about the y-axis V = Sketch the region. y 6 6 8 10 12 2 1 O 0.5 1.0 1.5 2.0 2.5 3.0 O 0.5 1.0 1.5 2.0 O 4 3 2 4 6 8 10 12
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. 2x = y², x = 0, y = 5; about the y-axis V = Sketch the region. y 6 6 8 10 12 2 1 O 0.5 1.0 1.5 2.0 2.5 3.0 O 0.5 1.0 1.5 2.0 O 4 3 2 4 6 8 10 12
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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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.
2x = y², x = 0, y = 5; about the y-axis
V =
Sketch the region.
y
6
5
4
3
2
1
2
-10
6
-5
Sketch the solid, and a typical disk or washer.
y
7
5
3
8
2
10
12
5
10
X
X
y
6
5
4
3
O
2
1
0-3
0.5 1.0
-2
-1
1.5
y
6
5
4
3
2
1
2.0
2.5
1 2
3.0
3
X
X
O
O
y
6
5
4
3
2
1
-10
0.5
-5
1.0
y
7
5
3
2
сл
5
1.5
10
2.0
X
X
O
L
6
5
96
4
3
2
1
0-3
2
-2
4
-1
6
y
7
6
5
4
3
2
1
8
10
12
1 2 3
X
Q
X
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