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. 2: (15 points) consider a population of coatimundis governed by the discrete-time dynamical system ct+1 = rct(1 . 2 ct), r > 0. (a) find all equilibria. For what values of r is there more than one equilibrium that makes biological sense? (b) for r = 4, determine the stability of each of the equilibria using the stability. Test/criterion. (c) determine the values of r for which the nonzero equilibrium is stable. 3: (10 points) a diver jumps from a diving board.