Final Test Review
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        Part I (Multiple Choice)
        ------------------------

   1. Find the indefinite integral (substitution)

     WW. 5.5, 4

   2. Evaluate the indefinite integral (sin^n(x)cos^m(x))

      WW. 6.2, 1, 2

   3. Find the following indefinite integral (integration by parts)

      WW. 6.1, 1, 2

   4.  Calculate the arc length.

      WW. 7.4, 1,2,3 

   5. Improper integrals.
       
      WW. 6.6, 5, 15


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

   WW. 7.1, 2, 3

     y=x^2, y=x  

   7. 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, 3


   8. Describe the behavior of the series

      WW. 8.2, 3, 4, 7

   9.  Use the geometric series 

         (1/(1-x))^(-1)= 1 + x + x^2 + x^3 + . . .+ x^n  + ...

        for |x| < 1  
      to write a power series representation for a function  

 
        WW. 8.6, 1-3

   10. Find the Taylor series of f(x) about x = a. 

        WW. 8.7,  6

   11. Establish the convergence/divergence of the series
        with the Ratio test.

        WW. 8.4, 1-5

   12. Find a polar equation for the curve described by 
       the Cartesian equation ...

       WW. 9.3, 7

   13. Find a Cartesian equation for the curve described
       by the polar equation ...

       WW. 9.3, 8, 9

   14. Arc length in polar coordinates.

       WW. 9.4, 7
    

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      Part II (Free response)
      -----------------------


   1. Use Partial Fraction Decomposition 
      to evaluate the indefinite integral, ...

     WW. 6.3, 3,4


   2. Find the volume generated by rotating
      the region bounded by ...
      about the x(or y)-axis (the Method of Disks/Washers)

      WW. 7.2,  1 

   3. Find the largest interval of convergence for a power series ...

      WW. 8.5, 1-3