Test 2 review
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PART I
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1. Algebraically determine the behavior if an improper integral.

   WW.6.6, 11, 14, 15

2. Determine whether the integral is divergent or convergent.
   It it is convergent evaluate it. 

   WW. 6.6, 5,6,8-10

3. Find the exact area of the region bounded by the curves ...

   WW. 7.1, 2, 3

     y=x^2-1, y=1-x

4.  Calculate the arc length.

   WW. 7.4, 1,2,3


5. Using the Method of Disks/Washers, find the volume of the solid
   obtained by revolving the region bounded by the curves ... 
  about the line y=a.

    WW. 7.2, 4, 5

6. Using the method of cylindrical shell, which expression represents
   the volume of the solid obtained by rotating about the line x=b 
    the region bounded by ...

   WW. 7.3, 5, 6

7. Find the work required to pump all the water over the side of the pool

   WW. 7.6, 4, 5

8. Describe the behavior of the sequence

   WW. 8.1, 3

9. Describe the behavior of the sequence

   WW. 8.1, 2, 4, 8 

10. Describe the behavior of the series

   WW. 8.2, 3, 4, 7

     


   
  PART II  (Free response )
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1. Use the method of cylindrical shell to find the volume of the solid obtained by rotating about the y-axis

       WW. 7.3,  2, 3


 2. Using the Method of Disks/Washers, find the volume of the solid
   obtained by revolving the region bounded by the curves ... 
  about the line y=a (or x-a).

   WW. 7.2, 1, 2, 3