A scene-of-the-crime-operative is called to investigate a dead body that has just been found. She arrives on the scene at 9:23 pm and begins her investigation. Immediately, the temperature of the body is taken and is found to be 27.76°C. The detective checks the programmable thermostat and finds that the room has been kept at a constant 20°C for the past 5 days. After evidence from the crime scene is collected, the temperature of the body is taken once more and found to be 25.85°C. This last temperature reading was taken exactly 2 hours after the first one. The next day the detective is asked by another investigator, “What time did our victim die?” Assume that the victim’s body temperature was normal (37°C) prior to death. a. Show your computation in solving c and k based on Newton’s Law of cooling. b. What time did the victim die (HH:MM)?

Please answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE.
This is a huge parts of our final standing and I really have to understand this. Thank you!

Notes!
- Do not forget to include proper units in solving.
- Show complete step-by-step solution, fully indicating boundary conditions and equations used.

[Problem]
A scene-of-the-crime-operative is called to investigate a dead body that has just been found. She arrives on the scene at 9:23 pm and begins her investigation. Immediately, the temperature of the body is taken and is found to be 27.76°C. The detective checks the programmable thermostat and finds that the room has been kept at a constant 20°C for the past 5 days. After evidence from the crime scene is collected, the temperature of the body is taken once more and found to be 25.85°C. This last temperature reading was taken exactly 2 hours after the first one. The next day the detective is asked by another investigator, “What time did our victim die?” Assume that the victim’s body temperature was normal (37°C) prior to death.

a. Show your computation in solving c and k based on Newton’s Law of cooling.
b. What time did the victim die (HH:MM)?