Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. If we measure temperature in degrees Celsius and time in minutes, the constant of proportionality. k equals 0.3. Suppose the ambient temperature TA(t) is equal to a constant 28 degrees Celsius. Write the differential equation that describes the time evolution of the temperature T of the object.

If we measure time in hours and we also measure temperature in degrees Fahrenheit, the differential equation in part (c) changes even more. What is the new differential equation? Use the letter F to denote temperature in degrees Fahrenheit.