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
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
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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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
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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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