Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 1 + sec(x), s xs y = 3; about y = 1 V = Sketch the region. y y 4 X X -1.0 -0.5 0.5 1.0 -1.0 -0.5 0.5 1.0 y y 4 4 X -1.0 -0.5 0.5 1.0 -1.0 -0.5 0.5 1.0 Sketch the solid, and a typical disk or washer. y y 4 6F 1 X -1p 0.5 0.5 .0 X -1.0 -0.5 0.5 1.0 -1F y y 6 4| -1p 0.5 0.5 1.0 -1.0 -0.5 0.5 1.0 -1

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.
y = 1 + sec(x), sx
about y = 1
y = 3;
V =
Sketch the region.
y
y
4
-1.0
-0.5
0.5
1.0
-1.0
-0.5
0.5
1.0
-1
-1}
y
y
4
4|
-1.0
-0.5
0.5
1.0
-1.0
-0.5
0.5
1.0
-1F
Sketch the solid, and a typical disk or washer.
y
y
4
6-
5
1
X
-1.0
0.5
0.5
.0
X
-1.0
-0.5
0.5
1.0
-1|
y
y
4
-0.5
0.5
1.0
-1.0
-0.5
0.5
1.0
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 = 1 + sec(x), sx about y = 1 y = 3; V = Sketch the region. y y 4 -1.0 -0.5 0.5 1.0 -1.0 -0.5 0.5 1.0 -1 -1} y y 4 4| -1.0 -0.5 0.5 1.0 -1.0 -0.5 0.5 1.0 -1F Sketch the solid, and a typical disk or washer. y y 4 6- 5 1 X -1.0 0.5 0.5 .0 X -1.0 -0.5 0.5 1.0 -1| y y 4 -0.5 0.5 1.0 -1.0 -0.5 0.5 1.0
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