(Question 7) 15 points Suppose is a positive real number and that

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

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

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

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

(Question 3) 6 points FInd 

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

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

Discussion Question Section You must complete 5 total: answer at least 3 from the first section (#1-7) and 2 from the second section (#8-10)   For this section, please answer the questions posed. Each of these will connect back to specific concepts or discussions in course content and/or have larger cultural and sociological meaning. Answers should be thoughtful and sociological. Too brief of answers or answers that don’t use critical thinking will not be given full credit. Roughly a paragraph each is expected in response