Newtons Law of Cooling At 8:30 A.M., a coroner was called

Chapter 3, Problem 3.5.53

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Newtons Law of Cooling At 8:30 A.M., a coroner was called to the home of a person who had died during the night. In order to estimate the time of death, the coroner took the persons temperature twice. At 9:00 A.M. the temperature was and at 11:00 A.M. the temperature was From these two temperatures the coroner was able to determine that the time elapsed since death and the body temperature were related by the formula where is the time (in hours elapsed since the person died) and is the temperature (in degrees Fahrenheit) of the persons body. Assume that the person had a normal body temperature of at death and that the room temperature was a constant Use the formula to estimate the time of death of the person. (This formula is derived from a general cooling principle called Newtons Law of Cooling.)

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