Instructions: the exam is closed book and closed notes. You may use an approved calculator, but be sure to clearly show your work on each problem for full credit. Work that is crossed out or erased will not be graded. Turn in any scratch paper that you use during the exam. You will have one hour and 50 minutes to work on the exam. You do not need to simplify your answer. Use parentheses to indicate multiplication where appropriate, and make sure that your notation is correct. (a) g(x) = (3 )4 + 6x4 4x . 4 (b) f (x) = (x3 + 5x)6 ln(2x2 + 1) (c) c(t) = cos(cid:16)t2et2(cid:17) (d) q(x) = x3+1 x 2 (e) l(x) = tan(cid:0)k(x2 2)(cid:1), where k is a constant. 2: (12 points) suppose that the number wt of whiskers on mark"s magical dog on day t obeys the discrete-time dynamical system where r is a positive parameter.