Problem 2. A cup of coffee is heated to a temperature of 80 OC. It is then exposed to the environment which is at a temperature of 20 OC. We know that the rate at which the body temperature changes is modeled by the equation dT dt =-.056(T-20) T(0) = 80 Where T(t) is the body temperature over time t and t is measured in minutes. | a) Determine the temperature of the cup of coffee after 10 minutes. b) What is the temperature of the cup of coffee in the long run?