Assignment 11: Problem 1 Problem List Next (1 point) Newton's Law of Cooling states that the rate of change of the temperature of an object is proportional to the difference between the temperature of the object, T, and the ambient (environmental) t differential equation = k E T) where k > 0 is a constant that represents the material properties and, E s the ambient temperkture. (We will assume that E is also constant.) The function emperature, E. This leads to the represents the temperature at time t that satisfies the differential equation. The time of death of a murder victim can be estimated from the temperature of the body if it is discovered early enough after the crime has occurred. Suppose that in a room whose ambient temperature is E = 19 degrees C, the temperature of the body upon discovery is T = 33 degrees, and that a second measurement, one hour later is T = 26 degrees. How many minutes before the body was discovered did the murder occur? (You should use the fact that just prior to death, the temperature of the victim was 37 degrees Celcius.) Time of deaths min You have attempted this problem 0 times. You have 10 attempts remaining.