1. According to Newton's law of cooling, if an object at temperature T is in an environment of constant temperature E, then the rate of change of T is proportional to the difference E T. (a) Write down a differential equation modeling this situation. (b) Give the units and sign of any constants appearing in your equation. (c) Find a formula for T as a function of time. ((1) Blood plasma is stored at 40F. Before the plasma can be used, it must be warmed to 90F. When placed in a 120F oven, plasma takes 45 minutes to warm to 90F degrees. If the oven is set to 100F, how long will it take for the plasma to warm