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Q11b  ( 3 points)   Use the properties of limits to help decide whether the limit exists. If the limit exists, find its value.

Q18c    ( 5 points) Differentiate.  Differentiate.

Q20c    ( 5 points) Find the integral.

Q16b    ( 5 points) Find the derivative of the following function  .( Hint: use property of logarithm)

Q14b  ( 5 points)  Find the indefinite integral 

Q10a  ( 5 points)  Let a) Find  such that has a critical value at . b) Find the exact value of  in terms of e. c) Determine  as a relative maximum, a relative minimum, or neither.                                                                                                     Ans: a)

Q15b  ( 5 points) Solve the problem.Use geometry to evaluate the following definite integral. ( Give exact answer interms of 

Q9c  ( 5 points)   Use appropriate substitution to find the integral   

Q22c    ( 5 points)  Evaluate.

Q3b  ( 5 points)   Solve the problem.Find a company’s total-cost function if its marginal cost function is