Calculus 1 Hour Exam 2 (continued) - Math 220 Fall, 2011

8.	A function g(x) has the following derivative. g ‘(x) = 5e^x (x-1)^2(x-2)^3(x-3)^4 Determine the x-value for each local maximum and local minimum on the graph of g(x). Answer: Local minimum for g at x = 2.
9.	A ball is tossed straight up with an initial velocity of 16 feet per second. The ball is 5 feet above the ground when it is released. Its height at time t is given by h(t) = -16t^2 + 16 t + 5 What is the ball’s maximum height? Answer: 9 ft
10.	Evaluate the following limits. a. lim (x^2 + 4x – 4) / sin(x-1) x→1 b. lim (4x – π) / 4 tan x x→π/4 c. lim (1 – 2/x)^3x x→∞ Answers: a. 5 b. 0 c. e^-6

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