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)

Q7a  ( 5 points)   Approximate the area under the graph of f(x) over the specified interval by dividing the interval into the indicated number of subintervals and using the right endpoint of each subinterval.( give your answer in three decimal places) 

Q7c  ( 5 points)   (Approximate the area under the graph of f(x) over the specified interval by dividing the interval into the indicated number of subintervals and using the left endpoint of each subinterval.( give your answer in three decimal places) 

Q8b  ( 5 points)   Find the average value of the following function over the given interval.;                                                                                                                                                           Ans:

Q2a  ( 5 points)   Solve the problem.An object’s acceleration at time is given by  

 Q4a-5 point   Find the relative extrema of the function, if they exist.

Q16a    ( 5 points) Find the derivative of the following function .( Hint: use property of logarithm)

Q11b-5 point   Find the absolute maximum and absolute minimum values of the function, if they exist, over the indicated interval, and indicate the x-values at which they occur.

Q3b-10 point   Solve the problem.The annual revenue and cost functions for a manufacturer of grandfather clocks are approximately

Q11a  ( 3 points)  Use the properties of limits to help decide whether the limit exists. If the limit exists, find its value.