lab01.desc

# lab01.desc - LAB#1 CSI Time of Death Goal Approximate...

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LAB #1 CSI - Time of Death Goal : Approximate parameters in a diﬀerential equation using calculus; approximate the solution of a diﬀerential equation using direction ﬁelds; solve the diﬀerential equation; compare approximate solutions to true solutions. Required tools : dﬁeld ; separable diﬀerential equations. Discussion You are a forensic expert with the Lafayette PD. You arrive at a crime scene at 12 midnight, ﬁnding a body laying on the ﬂoor. It is your job to determine the time of death. You immediately measure the body temperature, ﬁnding it to be 76 . 4 . You also note that the thermostat in the room is set to 70 . Your idea is to extrapolate backwards in time to determine when the body temperature was last 98 . 6 . You reason that the closer the body temperature gets to room temperature, the slower the body cools. This suggests that the body temperature T satisﬁes a diﬀerential equation of the form dT dt = - k ( T - 70) ( * ) where k

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lab01.desc - LAB#1 CSI Time of Death Goal Approximate...

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