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3 The rate of cooling of a body can be expressed as dT = -k(T – T,), dt Where T is temperature of the body ( °C ), T, is temperature of the surrounding medium ( °C ), and k is proportionality constant . A man was found dead from a stabbed wound early in the morning in his house. Police who came to the scene recorded the body temperature of the decease at 27 °C, the temperature of the house is assumed to be uniform at 24 °C. Let initial temperature of the body be 37 °C and k=0.154. Estimated how long he had been killed by using with At =1 and interpolation technique. If the true time is t=9.522 hours, find the absolute errors for both methods.

3 The rate of cooling of a body can be expressed as dT = -k(T – T,), dt Where T is temperature of the body ( °C ), T, is temperature of the surrounding medium ( °C ), and k is proportionality constant . A man was found dead from a stabbed wound early in the morning in his house. Police who came to the scene recorded the body temperature of the decease at 27 °C, the temperature of the house is assumed to be uniform at 24 °C. Let initial temperature of the body be 37 °C and k=0.154. Estimated how long he had been killed by using with At =1 and interpolation technique. If the true time is t=9.522 hours, find the absolute errors for both methods.

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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The rate of cooling of a body can be expressed as dT = -k(T – T.), dt Where T is temperature of the body ( °C ), T, is temperature of the surrounding medium ( °C ), and k is proportionality constant . A man was found dead from a stabbed wound early in the morning in his house. Police who came to the scene recorded the body temperature of the decease at 27 °C, the temperature of the house is assumed to be uniform at 24 °C. Let initial temperature of the body be 37 °C and k=0.154. Estimated how long he had been killed by using with At =1 and interpolation technique. If the true time is t=9.522 hours, find the absolute errors for both methods.
Transcribed Image Text:The rate of cooling of a body can be expressed as dT = -k(T – T.), dt Where T is temperature of the body ( °C ), T, is temperature of the surrounding medium ( °C ), and k is proportionality constant . A man was found dead from a stabbed wound early in the morning in his house. Police who came to the scene recorded the body temperature of the decease at 27 °C, the temperature of the house is assumed to be uniform at 24 °C. Let initial temperature of the body be 37 °C and k=0.154. Estimated how long he had been killed by using with At =1 and interpolation technique. If the true time is t=9.522 hours, find the absolute errors for both methods.
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