(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 3) 6 points Suppose

(Question 5) 8 points  

 (Question 7) 8 points

(Question 1) 15 points Evaluate the indicated integrals if is a positive real number constant. A.

(Question 9) 8 points Graph of the position function of a particle is shown, where t is measured in seconds.     a. When the particle is speeding up ? (Enter your answers using interval notation.)   b. When the particle is slowing down ? (Enter your answers using interval notation.)  

(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 6) 12 points (a) On what intervals is f increasing ? (Enter your answer using interval notation.) (b) On what intervals is f decreasing ? (Enter your answer using interval notation.) (c) At what value(s) of x does f have a local maximum ? (Enter your answers as a comma-separated list.) (d) On what interval(s) is f concave upward? (Enter your answer using interval notation.)

(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) 15 points Consider the function