Let S be the solid obtained by rotating the region shown in the figure below about the y-axis. y y = 5 x (x – 2)² 6. 5 4 3 2 1 Explain why it is difficult to use the washer method to find the volume V of S. Sketch the solid. Graph Graph Description Graph Graph Description 6 4. 3 -1 -3 -2 -1 -5 -6 Graph Graph Description Graph Graph Description 6. 4 3 -3 -2 -2 1 3 -2 What are the circumference c and height h of a typical cylindrical shell? c(x) %3D

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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Let S be the solid obtained by rotating the region shown in the figure below about the y-axis.
y
y = 5 x (x – 2)²
6.
4
1
Explain why it is difficult to use the washer method to find the volume V of S.
Sketch the solid.
Graph
Graph Description
Graph
Graph Description
y
6
-3
-2
-1
-2 1
2 3
-3
-2
-3
Graph
Graph Description
Graph
Graph Description
y
y
5
4
21
X.
X.
-3
-2
-1
1
-3
-2
-1
2 3
-3
-5
L --I
What are the circumference c and height h of a typical cylindrical shell?
c(x) =
%3D
h(x) =
%3D
Use the method of cylindrical shells to find the volume V of S.
432
3.
2.
654 32
4543
3.
2.
Transcribed Image Text:Let S be the solid obtained by rotating the region shown in the figure below about the y-axis. y y = 5 x (x – 2)² 6. 4 1 Explain why it is difficult to use the washer method to find the volume V of S. Sketch the solid. Graph Graph Description Graph Graph Description y 6 -3 -2 -1 -2 1 2 3 -3 -2 -3 Graph Graph Description Graph Graph Description y y 5 4 21 X. X. -3 -2 -1 1 -3 -2 -1 2 3 -3 -5 L --I What are the circumference c and height h of a typical cylindrical shell? c(x) = %3D h(x) = %3D Use the method of cylindrical shells to find the volume V of S. 432 3. 2. 654 32 4543 3. 2.
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