3. The body of a murder victim was discovered in the early hours of the morning at 2:00 a.m. The police surgeon arrived at 2:30 a.m. and immediately took the temperature of the body, which was 94.7°F. One hour later the temperature of the body was 93.4°F. Surrounding temperature was constant at 90°F. If the normal body temperature is 98.6°F, a) Formulate a mathematical model for the temperature of the body as a function of time. b) Solve the model c) Use your solution in b) to estimate the time of death.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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3. The body of a murder victim was discovered in the early hours of the morning at
2:00 a.m. The police surgeon arrived at 2:30 a.m. and immediately took the
temperature of the body, which was 94.7°F. One hour later the temperature of the
body was 93.4°F. Surrounding temperature was constant at 90°F. If the normal
body temperature is 98.6°F,
a) Formulate a mathematical model for the temperature of the body as a function of
time.
b) Solve the model
c) Use your solution in b) to estimate the time of death.
Transcribed Image Text:3. The body of a murder victim was discovered in the early hours of the morning at 2:00 a.m. The police surgeon arrived at 2:30 a.m. and immediately took the temperature of the body, which was 94.7°F. One hour later the temperature of the body was 93.4°F. Surrounding temperature was constant at 90°F. If the normal body temperature is 98.6°F, a) Formulate a mathematical model for the temperature of the body as a function of time. b) Solve the model c) Use your solution in b) to estimate the time of death.
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