(Question 2) 8 points A. Find g(2) B. Find g'(2) C. Find g”(9) D. Does g have a local maximum, a local minimum, or neither at x=9?    

 (Question 8) 6 points

(Question 6) 12 points Suppose

(Question 5) 8 points A closed box with a square base is produced using metal for the square bases and plastic for the sides.  The material costs are $10 per square inch for metal and $2 per square inch for plastic. The volume of this box is to be 1000 in3. Draw and label a figure representing this situation. Write an equation for the total cost to produce this box. Use calculus to find the dimensions of the box that minimize the total cost. Show your analysis.

(Question 3) 12 points Suppose that

(Question 10) 8 points Car 1 is heading due south from Math-town at a rate of 40 miles per hour.Car 2 is heading due west from Math-town at a rate of 55 miles per hour.  How fast is the distance between the cars increasing when Car 1 and Car 2 are 8 miles and 4 miles from Math-town, respectively?

(Question 4) 8 points Sketch a possible graph for a continuous function  that has ALL the stated conditions.  Label your graph. The domain of is the interval

(Question 10) 8 points Car 1 is heading due south from Math-town at a rate of 40 miles per hour. Car 2 is heading due west from Math-town at a rate of 55 miles per hour.  How fast is the distance between the cars increasing when Car 1 and Car 2 are 3 miles and 4 miles from Math-town, respectively?

(Question 5) 12 points Sketch a possible graph for a function  that has ALL the stated conditions.  Label your graph.   ,

(Question 8) 12 points The population, , in thousands, of a certain city is given by where t is the number of years since .  At what average rate does the population change from to ? Include correct units. Find . What does this value represent in the context of this problem?  Include correct units.