Q11c  ( 3 points)  Use the properties of limits to help decide whether the limit exists. If the limit exists, find its value.

Q20c    ( 5 points) Find the integral.

Q14b  ( 5 points)  Find the indefinite integral 

Q4c  ( 5 points)   Solve the problem. A concert promoter  has a marginal-profit function given by

Q18c    ( 5 points) Differentiate.  Differentiate.

Q14c  ( 5 points)  Find the indefinite integral 

Q15a    ( 5 points) Solve the problem.Use geometry to evaluate the following definite integral. ( Give exact answer interms of

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

Q10c  ( 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)

Q4b  ( 5 points)   Solve the problem.A special-events promoter sells tickets and has a marginal-profit function given by