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MATH1920Chapter7Section3Homework

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

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.

mc001-1.jpg
a.
mc001-2.jpg
b.
mc001-3.jpg
c.
mc001-4.jpg
d.
mc001-5.jpg
e.
mc001-6.jpg
 

 2. 

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  mc002-1.jpg about the x-axis. Round your answer to two decimal places.
a.
301.76
b.
674.33
c.
17.75
d.
96.05
e.
453.96
 

 3. 

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  mc003-1.jpg about the line mc003-2.jpg.
a.
mc003-3.jpg
b.
mc003-4.jpg
c.
mc003-5.jpg
d.
mc003-6.jpg
e.
mc003-7.jpg
 

 4. 

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 mc004-1.jpg.

mc004-2.jpg
a.
mc004-3.jpg
b.
mc004-4.jpg
c.
mc004-5.jpg
d.
mc004-6.jpg
e.
mc004-7.jpg
 

 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 mc005-1.jpg about the x-axis.
a.
mc005-2.jpg
b.
mc005-3.jpg
c.
mc005-4.jpg
d.
mc005-5.jpg
e.
mc005-6.jpg
 

 6. 

Use the shell method to find the volume of the solid generated by revolving the plane region about the line mc006-1.jpg.

mc006-2.jpg
a.
mc006-3.jpg
b.
mc006-4.jpg
c.
mc006-5.jpg
d.
mc006-6.jpg
e.
mc006-7.jpg
 

 7. 

Use the shell method to find the volume of the solid generated by revolving the plane region bounded by mc007-1.jpg about the line mc007-2.jpg.
a.
mc007-3.jpg
b.
mc007-4.jpg
c.
mc007-5.jpg
d.
mc007-6.jpg
e.
mc007-7.jpg
 

 8. 

Use the shell method to set up and evaluate the integral mc008-1.jpg that gives the volume of the solid generated by revolving the plane region about the y-axis.

mc008-2.jpg
a.
mc008-3.jpg
b.
mc008-4.jpg
c.
mc008-5.jpg
d.
mc008-6.jpg
e.
mc008-7.jpg
 

 9. 

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 mc009-1.jpg.

mc009-2.jpg
a.
mc009-3.jpg
b.
mc009-4.jpg
c.
mc009-5.jpg
d.
mc009-6.jpg
e.
mc009-7.jpg
 

 10. 

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.

mc010-1.jpg
a.
mc010-2.jpg
b.
mc010-3.jpg
c.
mc010-4.jpg
d.
mc010-5.jpg
e.
mc010-6.jpg
 

 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 about the x-axis.

mc011-1.jpg
a.
mc011-2.jpg
b.
mc011-3.jpg
c.
mc011-4.jpg
d.
mc011-5.jpg
e.
mc011-6.jpg
 

 12. 

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.

mc012-1.jpg
a.
mc012-2.jpg
b.
mc012-3.jpg
c.
mc012-4.jpg
d.
mc012-5.jpg
e.
mc012-6.jpg
 

 13. 

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  mc013-1.jpg about the x-axis.
a.
mc013-2.jpg
b.
mc013-3.jpg
c.
mc013-4.jpg
d.
mc013-5.jpg
e.
mc013-6.jpg
 

 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 x-axis.

mc014-1.jpg
a.
mc014-2.jpg
b.
mc014-3.jpg
c.
mc014-4.jpg
d.
mc014-5.jpg
e.
mc014-6.jpg
 



 
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