(a) A cougar was found dead in the woods by a ranger, which he assumed was shot by a poacher. The recorded body temperature of the dead body was 27 °C (degree Celcius) while the temperature of the woods was assumed to be uniform at 24 °C. The rate of cooling of the body can be expressed as: i dT dt where I is the temperature of the body in °C, Ta is temperature of the surrounding medium (in °C) and k is proportionally constant. Let initial temperature of the cougar be 37 °C while k = 0.152. ii. = -k(T - Ta), Estimate the temperature of the dead body at time, 0≤ t ≤ 9 hours by using Euler's method with At = 1 hour. Approximate how long the cougar had been killed at T = 27 °C by using linear interpolation techniques.
(a) A cougar was found dead in the woods by a ranger, which he assumed was shot by a poacher. The recorded body temperature of the dead body was 27 °C (degree Celcius) while the temperature of the woods was assumed to be uniform at 24 °C. The rate of cooling of the body can be expressed as: i dT dt where I is the temperature of the body in °C, Ta is temperature of the surrounding medium (in °C) and k is proportionally constant. Let initial temperature of the cougar be 37 °C while k = 0.152. ii. = -k(T - Ta), Estimate the temperature of the dead body at time, 0≤ t ≤ 9 hours by using Euler's method with At = 1 hour. Approximate how long the cougar had been killed at T = 27 °C by using linear interpolation techniques.
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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Transcribed Image Text:Q3
(a)
A cougar was found dead in the woods by a ranger, which he assumed was shot by a poacher.
The recorded body temperature of the dead body was 27 °C (degree Celcius) while the
temperature of the woods was assumed to be uniform at 24 °C. The rate of cooling of the
body can be expressed as:
i
dT
dt
where I is the temperature of the body in °C, Ta is temperature of the surrounding medium
(in °C) and k is proportionally constant. Let initial temperature of the cougar be 37 °C while
k = 0.152.
ii.
= -k(T-Ta),
Estimate the temperature of the dead body at time, 0 ≤ t ≤ 9 hours by using Euler's
method with At = 1 hour.
Approximate how long the cougar had been killed at T = 27 °C by using linear
interpolation techniques.
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