Newtons law of cooling  what is the general solution of dT/dt = -k(T-Ta)  K > 0 is constant  assuming constant ambient temperature and T > Ta using seperable techniques and b) (pictured)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 4SE: Define Newton’s Law of Cooling. Then name at least three real-world situations where Newton’s Law of...
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Newtons law of cooling 

what is the general solution of dT/dt = -k(T-Ta) 

K > 0 is constant 

assuming constant ambient temperature and T > Ta using seperable techniques

and b) (pictured)

Newton's law of cooling can be used by forensic scientists to approximate the time of death of a
body. With TA = 18°C, To = 25°C, and (t₁, T₁) = (1 hour, 23°C), determine how many hours prior to
to death occurred, assuming the body's temperature was 37°C at that moment.
Transcribed Image Text:Newton's law of cooling can be used by forensic scientists to approximate the time of death of a body. With TA = 18°C, To = 25°C, and (t₁, T₁) = (1 hour, 23°C), determine how many hours prior to to death occurred, assuming the body's temperature was 37°C at that moment.
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