36. Newton's law of cooling gives the temperature 7(1) of an object at time z in terms of To, its temperature at =0), and 7, the temperature of the sur- roundings.

T(t)=T,+(T-T)e A police officer arrives at a crime scene in a hotel room at 9:18 PM, where he finds a dead body. He immediately measures the body's temperature and finds it to be 79.5F. Exactly one hour later he measures the temperature again and finds it to be 78.0F. Determine the time of death, assuming that victim body temperature was normal (98.6F) prior to death and that the room temperature was constant at 69F.