Answer:
The temperature of the surrounding of the corpse is
T = (58+40e−t/2458+40e−t/24) ± ΔK
Where K is the temperature change of the corpse between 0 and t hours.
Step-by-step explanation:
A corpse loses or gains heat until it's temperature is in equilibrium with the temperature of its surrounding.
Since the temperature in degrees Fahrenheit of the corpse t hours after death is 58+40e−t/2458+40e−t/24,
let T be the temperature of the surrounding, then
T = (58+40e−t/2458+40e−t/24) ± ΔK
Where ΔK is the temperature change of the corpse between zero to t hours.