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. Find the (explicit) solution to the discrete-time dynamical system, given the inital condition w0 = 5. Express your solution in terms of an exponential function in base e. 2: (15 points) three walruses splash into their salt-water pool at the zoo, spilling 80 gallons of water each time they splash. Their pool usually holds 600 gallons of water. If one replaces the 80 gallons of water that they splash with water that has a concentration of 3 mol/gallon, the concentration of salt may change. (a) fill in the blank boxes below to model the situation above.
