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1.18 You are working as a crime scene investigator and must predict the temperature of a homicide victim over a 5-hour period. You know that the room where the victim was found was at 10°C when the body was discovered. (a) Use Newton's law of cooling (Prob. 1.17) and Euler's method to compute the victim's body temperature for the 5-hr period using values of k = 0.12/hr and At = 0.5 hr. Assume that the victim's body temperature at the time of death was 37 °C, and that the room tempera- ture was at a constant value of 10 °C over the 5-hr period. (b) Further investigation reveals that the room temperature had actually dropped linearly from 20 to 10 °C over the 5-hr period. Repeat the same calculation as in (a) but in- corporate this new information. (c) Compare the results from (a) and (b) by plotting them on the same graph.

1.18 You are working as a crime scene investigator and must predict the temperature of a homicide victim over a 5-hour period. You know that the room where the victim was found was at 10°C when the body was discovered. (a) Use Newton's law of cooling (Prob. 1.17) and Euler's method to compute the victim's body temperature for the 5-hr period using values of k = 0.12/hr and At = 0.5 hr. Assume that the victim's body temperature at the time of death was 37 °C, and that the room tempera- ture was at a constant value of 10 °C over the 5-hr period. (b) Further investigation reveals that the room temperature had actually dropped linearly from 20 to 10 °C over the 5-hr period. Repeat the same calculation as in (a) but in- corporate this new information. (c) Compare the results from (a) and (b) by plotting them on the same graph.

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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please help. can someone give me detailed solutions to this like not use excel one? thank you, an upvote will be a must to give. thank you.

1.18 You are working as a crime scene investigator and must predict the temperature of a homicide victim over a 5-hour period. You know that the room where the victim was found was at 10°C when the body was discovered. (a) Use Newton's law of cooling (Prob. 1.17) and Euler's method to compute the victim's body temperature for the 5-hr period using values of k = 0.12/hr and At = 0.5 hr. Assume that the victim's body temperature at the time of death was 37 °C, and that the room tempera- ture was at a constant value of 10 °C over the 5-hr period. (b) Further investigation reveals that the room temperature had actually dropped linearly from 20 to 10 °C over the 5-hr period. Repeat the same calculation as in (a) but in- corporate this new information. (c) Compare the results from (a) and (b) by plotting them on the same graph.
Transcribed Image Text:1.18 You are working as a crime scene investigator and must predict the temperature of a homicide victim over a 5-hour period. You know that the room where the victim was found was at 10°C when the body was discovered. (a) Use Newton's law of cooling (Prob. 1.17) and Euler's method to compute the victim's body temperature for the 5-hr period using values of k = 0.12/hr and At = 0.5 hr. Assume that the victim's body temperature at the time of death was 37 °C, and that the room tempera- ture was at a constant value of 10 °C over the 5-hr period. (b) Further investigation reveals that the room temperature had actually dropped linearly from 20 to 10 °C over the 5-hr period. Repeat the same calculation as in (a) but in- corporate this new information. (c) Compare the results from (a) and (b) by plotting them on the same graph.
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can someone give me detailed solutions to this like not use excel one but ONLY THE LETTER B and if possible LETTER C too? an upvote will be given for sure, thank you so much

1.18 You are working as a crime scene investigator and must predict the temperature of a homicide victim over a 5-hour period. You know that the room where the victim was found was at 10°C when the body was discovered. (a) Use Newton's law of cooling (Prob. 1.17) and Euler's method to compute the victim's body temperature for the 5-hr period using values of k = 0.12/hr and At = 0.5 hr. Assume that the victim's body temperature at the time of death was 37 °C, and that the room tempera- ture was at a constant value of 10 °C over the 5-hr period. (b) Further investigation reveals that the room temperature had actually dropped linearly from 20 to 10 °C over the 5-hr period. Repeat the same calculation as in (a) but in- corporate this new information. (c) Compare the results from (a) and (b) by plotting them on the same graph.
Transcribed Image Text:1.18 You are working as a crime scene investigator and must predict the temperature of a homicide victim over a 5-hour period. You know that the room where the victim was found was at 10°C when the body was discovered. (a) Use Newton's law of cooling (Prob. 1.17) and Euler's method to compute the victim's body temperature for the 5-hr period using values of k = 0.12/hr and At = 0.5 hr. Assume that the victim's body temperature at the time of death was 37 °C, and that the room tempera- ture was at a constant value of 10 °C over the 5-hr period. (b) Further investigation reveals that the room temperature had actually dropped linearly from 20 to 10 °C over the 5-hr period. Repeat the same calculation as in (a) but in- corporate this new information. (c) Compare the results from (a) and (b) by plotting them on the same graph.
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