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(Question 5) 8 points Suppose  .  A. Find and

(Question 5) 8 points Suppose

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

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

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

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

(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 2) 9 points If is continuous on [4, 7], 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)

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