MATH 110               BACKGOUNDS REALITY CHECK           M. FLASHMAN

CALCULUS II                           YOUR NAME : 

  1. Suppose . Find .

    2.  

     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     

    Ans. 

  2. Use calculus to find the maximum value of g(x) = x 3 - 5 x 2 + 2 for x in the interval [-2,3].

    3. Show all your work.
     
     
     
     
     
     
     
     
     

    Ans.

  3. Suppose f is a function with f '(x) = 12x + 4 and f (2) = 5. Find f(0).

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    Ans. f (0) =

  4. Find the area of the region in the plane enclosed by the X-axis, the lines X=1, X=2, and the graph of the function P(x) = 9 -x 2.


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    Ans.

  5. Evaluate the integral:

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    Ans.