The temperature in degrees Fahrenheit of a corpse t hours after death is 58+40e-t/2458+40e-t/24. What is the temperature of the surroundings of the corpse?

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.

58+40e-t/2458+40e-t/24

step by step explanation:

Normally, the temperature of a corpse is the temperature of the surrounding environment.

This is done by losing or gaining heat to equilibrate to that of the surrounding.

Let's assume that the final temperature of the corpse is after t hrs.

Then the temperature of the surrounding in degree Fahrenheit is equal to 58+40e-t/2458+40e-t/24