Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 2/36 - x², y = 0, x = 2, x = 5; about the x-axis V = Sketch the region.

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 = 2/36 - x², y = 0, x = 2, x = 5;
about the x-axis
V =
Sketch the region.
y
y
12
10
10
8.
6.
4
4
2
2
2-6
-4
-2
4
6.
O-6
-4
-2
2
4
6.
y
y
12
12
10
10
8
8
6
4
21
X
-4
-2
2
4
6.
o-6
-4
-2
2
4
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 = 2/36 - x², y = 0, x = 2, x = 5; about the x-axis V = Sketch the region. y y 12 10 10 8. 6. 4 4 2 2 2-6 -4 -2 4 6. O-6 -4 -2 2 4 6. y y 12 12 10 10 8 8 6 4 21 X -4 -2 2 4 6. o-6 -4 -2 2 4
Sketch the solid, and a typical disk or washer.
y
10
10
5
-6
-4
-2
4.
X
6
- 10
- 10
y
y
10
10
5-
5
X
-6
-4
-2
4
6
-6
-4
-2
2
4
6
-5
- 10
- 10
Transcribed Image Text:Sketch the solid, and a typical disk or washer. y 10 10 5 -6 -4 -2 4. X 6 - 10 - 10 y y 10 10 5- 5 X -6 -4 -2 4 6 -6 -4 -2 2 4 6 -5 - 10 - 10
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