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.

Q6c  ( 5 points)   Let D(x) be the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) be the price, in dollars per unit, that producers are willing to accept for x units.  Find the equilibrium point.

Q13b-10 point   Solve the problem.An appliance company determines that in order to sell x dishwashers, the price per dishwasher must be

Q12a-5 point   From a thin piece of cardboard 20 in. by20 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary.

Q10b-6 point   Find the points of inflection. Determine where the given function is concave up and where it is concave down.