Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y-axis. y = 13e-x2 y = 0, X = 0, х3D 1 V = 13 Sketch the region and a typical shell. y У 10 10- х -0.5 0.5 1.5 -10 1.0 1.5 -1.5 -1.0 У У 10 10 1l0 -0.5 0.5 1.5 5 -5 -10 -1.0 -1.5 -0.5 0.5 1.0 1.5

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 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y-axis.
y = 13e-x2
y = 0,
X = 0,
х3D 1
V = 13
Sketch the region and a typical shell.
y
У
10
10-
х
-0.5
0.5
1.5
-10
1.0
1.5
-1.5
-1.0
У
У
10
10
1l0
-0.5
0.5
1.5
5
-5
-10
-1.0
-1.5
-0.5
0.5
1.0
1.5
Transcribed Image Text:Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y-axis. y = 13e-x2 y = 0, X = 0, х3D 1 V = 13 Sketch the region and a typical shell. y У 10 10- х -0.5 0.5 1.5 -10 1.0 1.5 -1.5 -1.0 У У 10 10 1l0 -0.5 0.5 1.5 5 -5 -10 -1.0 -1.5 -0.5 0.5 1.0 1.5
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