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 50°F. (a) Find a function T(t) that models the temperaturet hours after death. T(t) = (b) If the temperature of the body is now 79°F, how long ago was the time of death? (Round your answer to the nearest whole number.) 15.5 hr

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 50°F. (a) Find a function T(t) that models the temperaturet hours after death. T(t) = (b) If the temperature of the body is now 79°F, how long ago was the time of death? (Round your answer to the nearest whole number.) 15.5 hr

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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
%3D
hours. Suppose that the temperature of the surroundings is 50°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 79°F, how long ago was the time of death? (Round your answer to the nearest whole number.)
15.5
hr

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