-1 Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 0, x= 1, x 5; about y = -1 V= Sketch the region, and then on your own sketch the solid and a typical disk or washer. y -1 y = 1 1 1 2 2 3 3 4 4 5 5 6 6 DO -1 3 y 1 1 2 2 3 3 4 4 X 5 6 6 X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 = 0, x = 1, x = 5; about y = -1
V=
1
V
Sketch the region, and then on your own sketch the solid and
3
x
2
3
4
4
5
6
6
typical disk or washer.
y
3
-1
DO
1
1
2
2
3
3
m
4
4
5
5
6
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 = 0, x = 1, x = 5; about y = -1 V= 1 V Sketch the region, and then on your own sketch the solid and 3 x 2 3 4 4 5 6 6 typical disk or washer. y 3 -1 DO 1 1 2 2 3 3 m 4 4 5 5 6
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