Q9a-6 point   Differentiate implicitly to find the slope of the curve at the given point.  

Q10c-6 point   Find the points of inflection. Determine where the given function is concave up and where it is concave down.  

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

Q3c  ( 5 points)   Solve the problem.Find a company’s total-cost function if its marginal cost function is

Q16b-5 point     Find the elasticity.  

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

Q17a-10 point   Solve the problem.

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

Q14a-3 point   Provide the proper response.Give an example of a function for which the first derivative and the second derivative are both always negative.

Q15c  (7 pts) Mary’s Taxi Services purchases a sedan and estimates that its salvage value V(t), in dollars, after t years, is given by         V(t)= 32,500e-0.13t a) What did the sedan cost originally? b) What is the salvage value after 4 years? c) Find the rate of change of the salvage value after 4 years, and explain its meaning.    ( Round all your answers to the nearest whole number)