MATH 522 Midterm: MATH 522 Louisville Exam 2 150325 Solution
Document Summary
1. (6 points)for the function whose graph is given, arrange the following numbers in increasing order. g (1), g (3), g (3. 5). 1: (8 points) suppose a population of critters is modeled by the function p (t) = 200 + sin(3t) with t measured in months. Circle all that apply, if any. (a) p on [4, u] (b) dp dt (cid:12) (cid:12) (cid:12)t=4 (c) 2: (8 points) evaluate the limits below. If an answer does not exist, write dne. (a) limx 0 (b) limt 2 tan(x) x2 + 1 t2 4 t + 2. 4. (a) (4 points) the function f is given by f (x) = 3ekx + 5 x2 , where k is an unknown constant. i. df dx. 3 k ekx 5x 1 iii. df dx. 3 k ekx 5x 1 + 5 (b) (4 points) the derivative of a function is given by g (x) = 3e3x +
