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Exam 7: Section 3: Applications of Integration

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Use the disk or shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line Use the disk or shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line . . Use the disk or shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line .

Free
(Multiple Choice)
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Question 1
Correct Answer:
Verified

B

Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the x-axis. Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the x-axis.

Free
(Multiple Choice)
4.9/5
(33)
Question 2
Correct Answer:
Verified

E

Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the x-axis. Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the x-axis.

Free
(Multiple Choice)
4.9/5
(33)
Question 3
Correct Answer:
Verified

D

Use the disk or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations Use the disk or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. Round your answer to two decimal places. about the x-axis. Round your answer to two decimal places.

(Multiple Choice)
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(27)
Question 4

Use the shell method to set up and evaluate an integral that gives the volume of the solid generated by revolving the plane region about the y-axis. Use the shell method to set up and evaluate an integral that gives the volume of the solid generated by revolving the plane region about the y-axis.

(Multiple Choice)
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Question 5

Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region bounded by Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region bounded by about the y-axis. Round your answer to three decimal places. about the y-axis. Round your answer to three decimal places.

(Multiple Choice)
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Question 6

Use the shell method to find the volume of the solid generated by revolving the plane region bounded by Use the shell method to find the volume of the solid generated by revolving the plane region bounded by about the line . about the line Use the shell method to find the volume of the solid generated by revolving the plane region bounded by about the line . .

(Multiple Choice)
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Question 7

Use the disk or shell method to find the volume of the solid generated by revolving the region in the first quadrant bounded by the graph of the equation about the given line. Use the disk or shell method to find the volume of the solid generated by revolving the region in the first quadrant bounded by the graph of the equation about the given line. (i) the x-axis; (ii) the y-axis (i) the x-axis; (ii) the y-axis

(Multiple Choice)
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Question 8

A solid is generated by revolving the region bounded by A solid is generated by revolving the region bounded by and about the y-axis. A hole, centered along the axis of revolution, is drilled through this solid so that one-third of the volume is removed. Find the diameter of the hole. Round your answer to three decimal places. and A solid is generated by revolving the region bounded by and about the y-axis. A hole, centered along the axis of revolution, is drilled through this solid so that one-third of the volume is removed. Find the diameter of the hole. Round your answer to three decimal places. about the y-axis. A hole, centered along the axis of revolution, is drilled through this solid so that one-third of the volume is removed. Find the diameter of the hole. Round your answer to three decimal places.

(Multiple Choice)
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Question 9

Use the shell method to find the volume of the solid generated by revolving the plane region about the line Use the shell method to find the volume of the solid generated by revolving the plane region about the line . . Use the shell method to find the volume of the solid generated by revolving the plane region about the line .

(Multiple Choice)
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Question 10

Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the x-axis. Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the x-axis.

(Multiple Choice)
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(35)
Question 11

Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region bounded by Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region bounded by about the x-axis. about the x-axis.

(Multiple Choice)
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Question 12

Use the disk or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations Use the disk or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. about the x-axis.

(Multiple Choice)
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(32)
Question 13

Use the shell method to set up and evaluate the integral Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis. that gives the volume of the solid generated by revolving the plane region about the y-axis. Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis.

(Multiple Choice)
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Question 14

Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis. Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis.

(Multiple Choice)
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Question 15

A solid is generated by revolving the region bounded by A solid is generated by revolving the region bounded by and about the y-axis. A hole, centered along the axis of revolution, is drilled through this solid so that one-fourth of the volume is removed. Find the diameter of the hole. Round your answer to three decimal places. and A solid is generated by revolving the region bounded by and about the y-axis. A hole, centered along the axis of revolution, is drilled through this solid so that one-fourth of the volume is removed. Find the diameter of the hole. Round your answer to three decimal places. about the y-axis. A hole, centered along the axis of revolution, is drilled through this solid so that one-fourth of the volume is removed. Find the diameter of the hole. Round your answer to three decimal places.

(Multiple Choice)
4.7/5
(33)
Question 16

Use the disk or shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line Use the disk or shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line . . Use the disk or shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line .

(Multiple Choice)
4.8/5
(38)
Question 17
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