Name: __________________________ Date: _____________
Chapter 7 Review



1.
Find the area of the region bounded by the equations by integrating (i) with respect to x and (ii) with respect to y.

A.
B.
C.
D.
E.


2.
Find the area of the region bounded by the graphs of the equations.

A.
B.
C.
D.
E.
None of the above


3.
Find the area of the region bounded by the graphs of the algebraic functions.

A.
B.
C.
D.
E.


4.
Find the area of the region bounded by the graphs of the algebraic functions.

A.
B.
C.
D.
E.


5.
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.



(i) x-axis; (ii) the line y = 102
A.
(i) ;
B.
(i) ;
C.
(i) ;
D.
(i) ;
E.
(i) ;


6.
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.



(i) x-axis; (ii) the line y = 13
A.
(i) ;
B.
(i) ;
C.
(i) ;
D.
(i) ;
E.
(i) ;


7.
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line y = 27.

A.
B.
C.
D.
E.
None of the above


8.
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.

A.
B.
C.
D.
E.


9.
Find the volume of the solid generated by revolving the plane region about the line .

A.
B.
C.
D.
E.


10.
Find the volume of the solid generated by revolving the region bounded by the graph of the equation about the given line.



(i) the x-axis; (ii) the y-axis
A.
(i) ; (ii)
B.
(i) ; (ii)
C.
(i) ; (ii)
D.
(i) ; (ii)
E.
(i) ; (ii)



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