According to the Law of Cooling of Bodies, the rate of change in a body's temperature over time is proportional to the difference between the body's temperature and the ambient temperature. Consider that T(t) is the body temperature as a function of time, A is the ambient temperature, t is time and k is the proportionality constant. In this context, the mathematical model corresponding to the Law of Cooling of Bodies and the function resulting from its resolution are given, respectively. Check the equation that describes this phenomenon and explain the reason for your answer. dT = -k(T – A); T(t) = (T(0) – A)e¯ dt + A LP - = k(T – A); T(t) = (T(0) – A)e“ + A dt -= -k(T – A); T(t) = e* + A dt LP = k(T – A); T(t) = e*“ + A dt dT - = k(T – A); T(t) = e“ + A dt

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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According to the Law of Cooling of Bodies, the rate of change in a body's temperature
over time is proportional to the difference between the body's temperature and the
ambient temperature. Consider that T(t) is the body temperature as a function of time, A
is the ambient temperature, t is time and k is the proportionality constant. In this context,
the mathematical model corresponding to the Law of Cooling of Bodies and the function
resulting from its resolution are given, respectively. Check the equation that describes
this phenomenon and explain the reason for your answer.
dT
:-k(T – A); T(t) = (T(0) – A)e¯# + A
dt
dT
= k(T – A); T(t) = (T(0) – A)e*“ + A
dt
dT
:-k(T – A); T(t) = e* + A
dt
dT
= k(T – A); T(t) = e- + A
dt
dT
= k(T – A); T(t) = e“ + A
dt
Transcribed Image Text:According to the Law of Cooling of Bodies, the rate of change in a body's temperature over time is proportional to the difference between the body's temperature and the ambient temperature. Consider that T(t) is the body temperature as a function of time, A is the ambient temperature, t is time and k is the proportionality constant. In this context, the mathematical model corresponding to the Law of Cooling of Bodies and the function resulting from its resolution are given, respectively. Check the equation that describes this phenomenon and explain the reason for your answer. dT :-k(T – A); T(t) = (T(0) – A)e¯# + A dt dT = k(T – A); T(t) = (T(0) – A)e*“ + A dt dT :-k(T – A); T(t) = e* + A dt dT = k(T – A); T(t) = e- + A dt dT = k(T – A); T(t) = e“ + A dt
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