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On TV crime shows, the time of death is often determined by taking the temperature of the liver. Newton's cooling law can be used to determine how long a body that has been left in a fixed temperature has been dead. Newton's heating-cooling law states that the rate of change in the temperature, H, is proportional to the difference between the object and the surrounding temperature. Let H(t) be the temperature of the body, and S be the surrounding temperature. If the outside temperature is 60 degrees and the body is 75 degrees, can you determine time of death just from this information if you know that normal body temperature is 98.6? O No, you need a rate of cooling for the particular body, and/or you need to take two measurements. O No, because Newton's law of cooling does not apply even if the outside temperature was constant. O Yes, but you would need a calculator and/or your calculus text book. O Yes, you have enough information and this information can be easily found without a calculator.

On TV crime shows, the time of death is often determined by taking the temperature of the liver. Newton's cooling law can be used to determine how long a body that has been left in a fixed temperature has been dead. Newton's heating-cooling law states that the rate of change in the temperature, H, is proportional to the difference between the object and the surrounding temperature. Let H(t) be the temperature of the body, and S be the surrounding temperature. If the outside temperature is 60 degrees and the body is 75 degrees, can you determine time of death just from this information if you know that normal body temperature is 98.6? O No, you need a rate of cooling for the particular body, and/or you need to take two measurements. O No, because Newton's law of cooling does not apply even if the outside temperature was constant. O Yes, but you would need a calculator and/or your calculus text book. O Yes, you have enough information and this information can be easily found without a calculator.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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On TV crime shows, the time of death is often determined by taking the temperature of the liver. Newton's cooling law can be used to determine how long a body that has been left in a fixed temperature has been dead. Newton's heating-cooling law states that the rate of change in the temperature, H, is proportional to the difference between the object and the surrounding temperature. Let H(t)be the temperature of the body, and S be the surrounding temperature. If the outside temperature is 60 degrees and the body is 75 degrees, can you determine time of death just from this information if you know that normal body temperature is 98.6? No, you need a rate of cooling for the particular body, and/or you need to take two measurements. No, because Newton's law of cooling does not apply even if the outside temperature was constant. Yes, but you would need a calculator and/or your calculus text book. Yes, you have enough information and this information can be easily found without a calculator.
Transcribed Image Text:On TV crime shows, the time of death is often determined by taking the temperature of the liver. Newton's cooling law can be used to determine how long a body that has been left in a fixed temperature has been dead. Newton's heating-cooling law states that the rate of change in the temperature, H, is proportional to the difference between the object and the surrounding temperature. Let H(t)be the temperature of the body, and S be the surrounding temperature. If the outside temperature is 60 degrees and the body is 75 degrees, can you determine time of death just from this information if you know that normal body temperature is 98.6? No, you need a rate of cooling for the particular body, and/or you need to take two measurements. No, because Newton's law of cooling does not apply even if the outside temperature was constant. Yes, but you would need a calculator and/or your calculus text book. Yes, you have enough information and this information can be easily found without a calculator.
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