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. If you need scratch paper ask for some from the proctor. 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. Justify your answer using the stability theorem. (c) (3 points) check your answer using a graph and cobwebbing. 3: (10 points) consider the logistic growth model. xt+1 = xt r + x2 t (a) assume parameter r is greater than 0. Use correct notation in your work. (b) find the positive, non-zero equilibrium in terms of parameter r. A ball is thrown vertically upward from the roof of a 3 foot building with a velocity of.