# calculus

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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 78 degrees F and a living body temperature of 98.6 degrees F, the temperature in degrees F of a body at a time hours since death is given by

1. For what value of will the body cool by 2 degrees F in the first hour?

2. Using the value of 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 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.
degrees F
rule of thumb gives T = degrees F

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