= Problem 3: Modeling Suppose you turn off the heating system in your outdoor swimming pool at night 1 hours before you go to bed; call this time t=0. If the temperature T at t=0 is 82F and at the time you go to bed (t=1) has dropped to 61F, when do you expect the temperature in water reach 32F which is the outdoor temperature and you can assume that the outside temperature remains constant at 32F. State your assumption. Note: You can start the problem with Newton's law of cooling expression -k(T Ta) dT = dt