Find the volume of the solid generated by revolving the region bounded by the parabola y = - and the line y = -1 about the following lines. 16 x² a. The line y = -1 a. The volume of the given solid is (Type an exact answer, using as needed.) b. The line y=-2 (...) c. The line y = 1
Find the volume of the solid generated by revolving the region bounded by the parabola y = - and the line y = -1 about the following lines. 16 x² a. The line y = -1 a. The volume of the given solid is (Type an exact answer, using as needed.) b. The line y=-2 (...) c. The line y = 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Find the volume of the solid generated by revolving the region bounded by the parabola y = - and the line y = -1 about the following lines.
x²
16
a. The line y = -1
a. The volume of the given solid is
(Type an exact answer, using as needed.)
The volume is
(Type an exact answer in terms of x.)
Use the shell method to find the volume of the solid generated by revolving the shaded region about the x-axis.
8
c. The line y = 5
d. The line y = -
Use the shell method to find the volumes of the solids generated by revolving the shaded region about the indicated axes.
a. The x-axis
b. The line y = 1
2
b. The line y=-2
5
a. The volume is
(Type an exact answer in terms of л.)
...
...
C...
c. The line y = 1
√√3
0
y=√√3
x=9-3y²
9
+x=48 (y²-y²³)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0143c836-8f2c-4043-b7b3-58e093f2fd4b%2F9a71b13e-ce91-49f1-85e6-1eb2776655cc%2Fkgmnab_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the volume of the solid generated by revolving the region bounded by the parabola y = - and the line y = -1 about the following lines.
x²
16
a. The line y = -1
a. The volume of the given solid is
(Type an exact answer, using as needed.)
The volume is
(Type an exact answer in terms of x.)
Use the shell method to find the volume of the solid generated by revolving the shaded region about the x-axis.
8
c. The line y = 5
d. The line y = -
Use the shell method to find the volumes of the solids generated by revolving the shaded region about the indicated axes.
a. The x-axis
b. The line y = 1
2
b. The line y=-2
5
a. The volume is
(Type an exact answer in terms of л.)
...
...
C...
c. The line y = 1
√√3
0
y=√√3
x=9-3y²
9
+x=48 (y²-y²³)
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