Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8x, y = 8x, x 2 0; about the x-axis Step 1 Rotating a vertical strip between y = 8x and y = 8x around the x-axis creates v ---Select- Sketch the region. disk washer y y 8 8 6 6. 4 4. 2 -0.5 0.5 1.0 1.5 -0.5 0.5 1.0 1.5 y y 8. 6

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 = 8x, y = 8x, x > 0;
about the x-axis
%3D
%3D
Step 1
Rotating a vertical strip between y = 8x and y = 8x around the x-axis creates
%3D
---Select-
disk
Sketch the region.
washer
y
y
8
8
4
4
-0.5
0.5
1.0
1.5
-0.5
0.5
1.0
1.5
- y
y
8.
8
6
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 = 8x, y = 8x, x > 0; about the x-axis %3D %3D Step 1 Rotating a vertical strip between y = 8x and y = 8x around the x-axis creates %3D ---Select- disk Sketch the region. washer y y 8 8 4 4 -0.5 0.5 1.0 1.5 -0.5 0.5 1.0 1.5 - y y 8. 8 6 2. 2.
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