A detective is called to the scene of a crime where a dead body has just been found. She arrives on the scene at 10:23 pm and begins her investigation. Immediately, the temperature of the body is taken and is found to be 80-F The detective checks the programmable thermostat and finds that the room has been kept at a constant 68-F for the past 3 days. After evidence from the crime scene is collected, the body's temperature is taken once more and found to be 78.5-F. This last temperature reading was taken exactly a quarter after 11:01 pm. Assuming that the victim's body temperature was normal (98.6-F) before death,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

DIFFERENTIAL EQUATIONS

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A detective is called to the scene of a crime where a dead body has just been found. She arrives on the scene at
10:23 pm and begins her investigation. Immediately, the temperature of the body is taken and is found to be 80-F.
The detective checks the programmable thermostat and finds that the room has been kept at a constant 68-F for
the past 3 days. After evidence from the crime scene is collected, the body's temperature is taken once more and
found to be 78.5-F. This last temperature reading was taken exactly a quarter after 11:01 pm. Assuming that the
victim's body temperature was normal (98.6-F) before death,
calculate the rate constant k
1.5195x10-3
min
2.5195x10-³
min
3.5195x10-²
min
2.1004x10-3
min
Transcribed Image Text:A detective is called to the scene of a crime where a dead body has just been found. She arrives on the scene at 10:23 pm and begins her investigation. Immediately, the temperature of the body is taken and is found to be 80-F. The detective checks the programmable thermostat and finds that the room has been kept at a constant 68-F for the past 3 days. After evidence from the crime scene is collected, the body's temperature is taken once more and found to be 78.5-F. This last temperature reading was taken exactly a quarter after 11:01 pm. Assuming that the victim's body temperature was normal (98.6-F) before death, calculate the rate constant k 1.5195x10-3 min 2.5195x10-³ min 3.5195x10-² min 2.1004x10-3 min
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