Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y² = 2x, x = 2y; about the y-axis V = Sketch the region. y O 15 10 5 2 -5 2 4 Sketch the solid, and a typical disk or washer. y 4 10 8 6 4 6 6 5 5 8 8 X X X

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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question 9 on 6.2 hw

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y² = 2x, x = 2y; about the y-axis
V =
Sketch the region.
y
O
15
10
5
2
-5
2
4
4
Sketch the solid, and a typical disk or washer.
y
10
8
6
6
4
6
5
5
8
8
X
X
X
<O
4
3
2
1
y
15
10
5
2
2
4
4
y
6
y
10
8
6
?
2
5
6
6
8
5
8
X
X
X
Transcribed Image Text:Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y² = 2x, x = 2y; about the y-axis V = Sketch the region. y O 15 10 5 2 -5 2 4 4 Sketch the solid, and a typical disk or washer. y 10 8 6 6 4 6 5 5 8 8 X X X <O 4 3 2 1 y 15 10 5 2 2 4 4 y 6 y 10 8 6 ? 2 5 6 6 8 5 8 X X X
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