Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3e-x, y = 3, x = 6; about y = 6 %3D V =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = 3e-x, y = 3, x = 6;
about y = 6
V =
Sketch the region.
y
y
4.
2
2
2
4
y
y
4
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 = 3e-x, y = 3, x = 6; about y = 6 V = Sketch the region. y y 4. 2 2 2 4 y y 4 2 2
Sketch the solid, and a typical disk or washer.
y
y
12
12
10
10
8
8
4
4
2
X
4
6
8
2
4
6.
8
y
y
12
12
10
10
8
4
2-
X
X
2
6.
8
4
6.
8
Transcribed Image Text:Sketch the solid, and a typical disk or washer. y y 12 12 10 10 8 8 4 4 2 X 4 6 8 2 4 6. 8 y y 12 12 10 10 8 4 2- X X 2 6. 8 4 6. 8
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