Instructions: the exam is closed book and closed notes. You may use an approved calculator, but be sure to 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 45 minutes to work on the exam. You do not need to simplify your answer. Use parentheses to indicate multiplication where appropriate, and make sure your notation is correct. (a) f (t) = ln(10) 2t4 + 5 t4 + 9t . 3 (b) g(x) = 2x(x3 + ) (c) r(x) = 3ex sin(x)+2 (d) q(u) = (u2+1)12 cos(u) (e) p(t) = tan(ln(t) + k), where k is a constant. 2: (15 points) suppose that the population bt of boreal owls satis es the discrete-time dynamical system where r is a positive parameter. bt+1 =
