Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x?, x = y²; about y = 1 V = Sketch the region. y y 2 2- X -2 1 -2 -1 1 2 -1 -2 y y X 1 2 -2 1 -1 Sketch the solid, and a typical disk or washer. y y -2 1 -2 1 1 2 y -2 -1 -2 -1 1 -1 -2

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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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = x, x = y²; about y = 1
V =
Sketch the region.
y
y
2|
-2
1
2
-2
-1
1
-1
-21
-2-
y
y
2
2-
X
-2
1
-2
-1
1
-2
Sketch the solid, and a typical disk or washer.
y
2
X
-2
1
-2
-1
1
-2-
-2-
y
y
2
1
1
-2
1
-2
-1
1
2
-2
-2
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 = x, x = y²; about y = 1 V = Sketch the region. y y 2| -2 1 2 -2 -1 1 -1 -21 -2- y y 2 2- X -2 1 -2 -1 1 -2 Sketch the solid, and a typical disk or washer. y 2 X -2 1 -2 -1 1 -2- -2- y y 2 1 1 -2 1 -2 -1 1 2 -2 -2
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