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Que: 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 66 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) = 66 + 32.6e . %3D 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

Que: 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 66 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) = 66 + 32.6e . %3D 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

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Que: 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 66 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) = 66 + 32.6e . %3D 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
Transcribed Image Text:Que: 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 66 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) = 66 + 32.6e . %3D 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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