Practice Question for Midterm PDF

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Practice Question for Midterm...

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Math 115 / Exam 2 (March 26, 2019)

page 7

5. [8 points] Consider the function h(x) where k and A are constants: ( 2x + 1 x≤k h(x) = 2 (x − A) + 2 x > k a. [5 points] There is exactly one choice of the constants A and k that make h(x) differentiable. Find these values of A and k .

Answer:

A=

Answer:

k=

b. [3 points] If A > k , then h(x) has two critical points. What are the x-coordinates of these points? Your answers may be in terms of A and/or k. Show work or briefly explain your reasoning.

Answer:

Critical point(s) at x =

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Winter, 2019 Math 115 Exam 2 Problem 5...