(Question 5) 8 points  

 (Question 7) 8 points

(Question 4) 8 points Suppose k is a non-zero real number.  Evaluate the limit algebraically.  If it does not exist, explain why not.  

(Question 2) 9 points Suppose that  is continuous at and that

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

(Question 3) 6 points FInd 

(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 3) 8 points A Folium of Descartes is the family of curves given by

(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 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.)