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October 20, 2014

October 20, 2014

Posted by **sandy** on Tuesday, December 4, 2012 at 5:01pm.

u(t)=T+(u-T)e^kt K<0

￼

where T is the constant temperature of the surrounding medium,

u ￼is the initial temperature of the heated object, and

k is a negative constant for a specific object

Our normal body temperature is usually warmer than the ambient air temperature indoors. Therefore, upon death, the body temperature will exponentially decay according to the function above. For the human body, k = -1/-2.5￼, if temperature is measured in Fahrenheit.

Q) At 8:30 AM, the police forensic team was called to the Calgary home of a person who had apparently been murdered sometime during the night. In order to estimate the time of death, the person’s body temperature was measured. At 9:00 AM, the body temperature was 84.6 degrees Fahrenheit. Estimate the time of death.

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