Find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. y = 8 – 8x2, y = 0 Sketch the region. У 4 2 -0.5 0.5 1.0 1.5 -1.5 -1.0 -0.5 0.5 1.0 1.5 y 5 1.0 -1.0 -0.5 .0 -0.5 0.5 1.5 0.5 1.5 -1.5 Sketch the solid, and a typical disk or washer. У У -10 -110 7.0 -1.5 -0.5 0.5 .0 1.5 -1.5 -0.5 0.5 1.5 y y х 1.5 .0 -0.5 0.5

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 of the solid obtained by rotating the region bounded by the given curves about the x-axis.
y = 8 – 8x2, y = 0
Sketch the region.
У
4
2
-0.5
0.5
1.0
1.5
-1.5
-1.0
-0.5
0.5
1.0
1.5
y
5
1.0
-1.0 -0.5
.0
-0.5
0.5
1.5
0.5
1.5
-1.5
Sketch the solid, and a typical disk or washer.
У
У
-10
-110
7.0
-1.5
-0.5
0.5
.0
1.5
-1.5
-0.5
0.5
1.5
y
y
х
1.5
.0
-0.5
0.5
Transcribed Image Text:Find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. y = 8 – 8x2, y = 0 Sketch the region. У 4 2 -0.5 0.5 1.0 1.5 -1.5 -1.0 -0.5 0.5 1.0 1.5 y 5 1.0 -1.0 -0.5 .0 -0.5 0.5 1.5 0.5 1.5 -1.5 Sketch the solid, and a typical disk or washer. У У -10 -110 7.0 -1.5 -0.5 0.5 .0 1.5 -1.5 -0.5 0.5 1.5 y y х 1.5 .0 -0.5 0.5
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