Coroners estimate time of death using the rule of thumb that a body cools about

Question

Coroners estimate time of death using the rule of thumb that a body cools about 2 degrees F during the first hour after death and about 1 degree F for each additional hour. Assuming an air temperature of 76 degrees F and a living body temperature of 98.6 degrees F, the temperature T(t) in degrees F of a body at a time t hours since death is given by T(t)=76+226e^(?kt) 1. For what value of k will the body cool by 2 degrees F in the first hour? k= 2. Using the value of k found above, after how many hours will the temperature of the body be decreasing at a rate of 1 degree F per hour? after ? hours 3. Using the value of k found above, show by calculating both values that, 24 hours after death, the coroner's rule of thumb gives approximately the same temperature as the formula. T(24)= ? degrees F rule of thumb gives T = ? degrees F

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