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 = 5e-x", y = 0, x = 0, x = 1 V = Sketch the region and a typical shell. y y 4 2 -0.5 0.5 10 1.5 -0.5 0.5 1,0 1.5 y 4 3 2 X -1.5 -1.0 1.0 1.5 -1.5 -1.0 -0.5 0.5 1.0 1.5 21

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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
у-аxis.
y = 5e¬x2
y = 0, x = 0,
x = 1
V =
Sketch the region and a typical shell.
y
y
4
2
X
1.5
X
-0.5
0.5
10
-0.5
0.5
1lo
1.5
-2
y
y
4
3
2
2
1
X
-1.5
-1.0
8.5
1.0
1.5
-1.5
-1.0
-0.5
0.5
1.0
1.5
-1F
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 у-аxis. y = 5e¬x2 y = 0, x = 0, x = 1 V = Sketch the region and a typical shell. y y 4 2 X 1.5 X -0.5 0.5 10 -0.5 0.5 1lo 1.5 -2 y y 4 3 2 2 1 X -1.5 -1.0 8.5 1.0 1.5 -1.5 -1.0 -0.5 0.5 1.0 1.5 -1F
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