This exercise uses Newton's Law of Cooling. Newton's Law of Cooling is used in homicide investigations to determine the time of death. The normal body temperature is 98.6°F. Immediately following death, the body begins to cool. It has been determined experimentally that the constant in Newton's Law of Cooling is approximately k = 0.1947, assuming time is measured in hours. Suppose that the temperature of the surroundings is 65°F. (a) Find a function T(t) that models the temperature t hours after death. T(t) : (b) If the temperature of the body is now 72°F, how long ago was the time of death? (Round your answer to the nearest whole number.) hr Need Help? Master It Read It Watch It Talk to a Tutor

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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This exercise uses Newton's Law of Cooling.
Newton's Law of Cooling is used in homicide investigations to determine the time of death. The normal body temperature is
98.6°F. Immediately following death, the body begins to cool. It has been determined experimentally that the constant in
Newton's Law of Cooling is approximately k = 0.1947, assuming time is measured in hours. Suppose that the temperature of the
surroundings is 65°F.
(a) Find a function T(t) that models the temperature t hours after death.
T(t) :
(b) If the temperature of the body is now 72°F, how long ago was the time of death? (Round your answer to the nearest
whole number.)
hr
Need Help?
Master It
Read It
Watch It
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Transcribed Image Text:This exercise uses Newton's Law of Cooling. Newton's Law of Cooling is used in homicide investigations to determine the time of death. The normal body temperature is 98.6°F. Immediately following death, the body begins to cool. It has been determined experimentally that the constant in Newton's Law of Cooling is approximately k = 0.1947, assuming time is measured in hours. Suppose that the temperature of the surroundings is 65°F. (a) Find a function T(t) that models the temperature t hours after death. T(t) : (b) If the temperature of the body is now 72°F, how long ago was the time of death? (Round your answer to the nearest whole number.) hr Need Help? Master It Read It Watch It Talk to a Tutor
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