The problem states: Give an interval that estimates for the person's time of death. Ts= 21.1 degrees C room temperature, Normal temperature of the body Ta= is an interval of 36.6 to 37.2 degrees C. Temperature of the body when found at midnight is Ti= 34.8 degrees C. The final temperature half hour later of the body Tf= 34.3 degrees C.
So using Newton's cooling equation:
where the temperature of the corpse is:
K=-(1/2)ln((Tf - Ts)/(Ti - Ts)
Time of death is:
D=-(1/k)ln((Ta - Ts)/(Ti - Ts))
So i'm confused on where to intergate? I wanted to intergate for the time of death for To but in respects to time but there is not a time variable in that equation so I'm stumped. Thanks to all who can help.