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.

Q3a-10 point   Solve the problem.The annual revenue and cost functions for a manufacturer of grandfather clocks are approximately

Q6a-6 point   Solve the problem.Suppose that the value V of a certain product decreases, or depreciates, with time t, in months, where

Q13a ( 5 pts) Provide an appropriate response. The amount of​ carbon-14 present in animal bones t years after the​ animal’s death is given by

Q12a (5 pts) Solve the problem. Find the function D that satisfies , given that D=20 when t=0.                                                                                                                                                                                                                    

Q17b-10 point   Solve the problem.