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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please help, with not excel - just pure formula. thank you so much. will upvote!

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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