Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. У %3Dх+ 1, у %3D 0, х %3D0, х%3D 5; about the x-axis V = Sketch the region. y y 가 6 6 5 5 4 4F 3 2 2 1 1F X 1 2 3 4 6. 1 3 4 5 6 y y 6 5- 4 4 3 3 2 1 1 X 1 3 4 5 1 2 3 4 5 6 Sketch the solid, and a typical disk or washer. y y 6 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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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
у %3Dх + 1, у%3D 0, х%3D 0, х %3D 5;
about the x-axis
V =
Sketch the region.
y
y
6
6
5
5
4
3
3
2
2
1
X
1
3
1
4
y
y
7|
6
6
4
4
3
3
2
1
1
X
1
2
3
4
1
2
3
4
5
Sketch the solid, and a typical disk or washer.
y
y
6F
6
4
8
4
6
8
-6
y
y
6
4
2
8
8
-2
-4
-4
- 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. у %3Dх + 1, у%3D 0, х%3D 0, х %3D 5; about the x-axis V = Sketch the region. y y 6 6 5 5 4 3 3 2 2 1 X 1 3 1 4 y y 7| 6 6 4 4 3 3 2 1 1 X 1 2 3 4 1 2 3 4 5 Sketch the solid, and a typical disk or washer. y y 6F 6 4 8 4 6 8 -6 y y 6 4 2 8 8 -2 -4 -4 - 6
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