Let S be the solid obtained by rotating the region shown in the figure below about the y-axis. y 12 y = 12 sin(4x²) 11 10 9 8 7 A 6 5 4 3 2 1 X Sketch the solid. LE|N

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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Let S be the solid obtained by rotating the region shown in the figure below about the y-axis.
y
12
y = 12 sin(4x²)
11
10
9
8
7
A
6
5
4
3
2
1
X
π
2
Sketch the solid.
Transcribed Image Text:Let S be the solid obtained by rotating the region shown in the figure below about the y-axis. y 12 y = 12 sin(4x²) 11 10 9 8 7 A 6 5 4 3 2 1 X π 2 Sketch the solid.
What are the circumference c and height h of a typical cylindrical shell?
c(x) =
h(x)
=
Use the method of cylindrical shells to find the volume V of S.
Do you think this method is preferable to using washers? Explain your reasoning.
li
Transcribed Image Text:What are the circumference c and height h of a typical cylindrical shell? c(x) = h(x) = Use the method of cylindrical shells to find the volume V of S. Do you think this method is preferable to using washers? Explain your reasoning. li
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