(Differential Equations) A homicide victim is found at 6:00 PM in an office building that is maintained at 72 °F. When the victim was found, his body temperature was at 85 °F. Three hours later at 9:00 PM, his body temperature was recorded at 78 °F. Assume the temperature of the body at the time of death is the normal human body temperature of 98.6 °F. The governing equation for the temperature of the body is do =-k(0-0) dt where, 0= temperature of the body, "F

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.4: Solving Nonlinear Equations
Problem 17E: Van der Waals Equation In Exercise 18 at the end of Section 2.3, we discussed the ideal gas law,...
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(Differential Equations) A homicide victim is found at 6:00 PM in an office building that is
maintained at 72 °F. When the victim was found, his body temperature was at 85 °F. Three hours
later at 9:00 PM, his body temperature was recorded at 78 °F. Assume the temperature of the body at
the time of death is the normal human body temperature of 98.6 °F. The governing equation for the
temperature of the body is
do
=-k(0-0)
dt
where,
0= temperature of the body, "F
0 = ambient temperature, "F
t = time, hours
k = constant based on thermal properties of the body and air.
The estimated time of death most nearly is
Transcribed Image Text:(Differential Equations) A homicide victim is found at 6:00 PM in an office building that is maintained at 72 °F. When the victim was found, his body temperature was at 85 °F. Three hours later at 9:00 PM, his body temperature was recorded at 78 °F. Assume the temperature of the body at the time of death is the normal human body temperature of 98.6 °F. The governing equation for the temperature of the body is do =-k(0-0) dt where, 0= temperature of the body, "F 0 = ambient temperature, "F t = time, hours k = constant based on thermal properties of the body and air. The estimated time of death most nearly is
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