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 60°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 74°F, how long ago was the time of death? (Round your answer to the nearest whole number.) hr
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4. 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 60°F.
(a) Find a function T(t) that models the temperature t hours after death.
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T(t) = |
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(b) If the temperature of the body is now 74°F, how long ago was the time of death? (Round your answer to the nearest whole number.)
hr
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