Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 5 + sec(x), sxsy = = 7; about y = 5 V = Sketch the region. y -1.0 -0.5 0.5 1.0 -1.0 -0.5 0.5 1.0 y 8 8h -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 15 10 -1.0 -0.5 0.5 1.0 -1.0 -0.5 0.5 1.0

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 = 5 + sec(x), *sxs, y = 7; about y = 5
3
3
V =
Sketch the region.
y
y
8
8-
2
2
-1.0
-0.5
0.5
1.0
-1.0
-0.5
0.5
1.0
y
y
8
8h
4
4
2
2
-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
15
10
2
-1.0
-0.5
0.5
1.0
-1.0
-0.5
0.5
1.0
y
y
8
15
10
2
-1.0
-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 = 5 + sec(x), *sxs, y = 7; about y = 5 3 3 V = Sketch the region. y y 8 8- 2 2 -1.0 -0.5 0.5 1.0 -1.0 -0.5 0.5 1.0 y y 8 8h 4 4 2 2 -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 15 10 2 -1.0 -0.5 0.5 1.0 -1.0 -0.5 0.5 1.0 y y 8 15 10 2 -1.0 -0.5 0.5 1.0 -1.0 -0.5 0.5 1.0
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