(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.

(Question 10) 8 points Let   .  Find the smallest number

(Question 8) 12 points The cost, in dollars, of producing x yards of a certain fabric is given by

(Question 3) 6 points FInd 

(Question 1) 6 points Suppose C is a nonzero real number.  Evaluate the following limit, if possible.  If the limit does not exist, explain why not.

(Question 2) 9 points If is continuous on , which of the following statements must be true?  Choose ALL that apply.  Explain your reasoning. (A)    is differentiable at all -values between 4 and 7 (B)

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

Affirmative action