Question: According to Newton's law of cooling, the rate at which a warm object cools is proportional to the difference between the temperature of the object and the "ambient" temperature of its surroundings. If the temperature of the object at time t and the (constant) ambient temperature is C, then T (t) ? = k(C-T (t)). Note that this is an equation of the type given in (4). At 12 noon, the police enter a room and discover a dead body. Immediately they measure its temperature, which is 35 degrees (Centigrade). At 1 pm they take the temperature again, which is now 32 degrees. The temperature in the room is constant at 20 degrees. When did the person die?