The dead body of a cricket coach was discovered in a prominent hotel at noon on Sunday where the temperature is 70°F. The temperature of the body at the time of discovery s 79°F and one hour later the temperature is 75.3°F. Newton's law of cooling says that the rate of change of temperature T(t) on an object is proportional to the difference between the time T(t) and the temperature Tm of the surrounding medium; that is dT = k(T-Tm) dt Where k is a constant of proportionality. By solving the differential equation, show that the temperature of the coach's body is given by T = 70+ Cekt

The dead body of a cricket coach was discovered in a prominent hotel at noon on Sunday where the temperature is 70°F. The temperature of the body at the time of discovery s 79°F and one hour later the temperature is 75.3°F. Newton's law of cooling says that the rate of change of temperature T(t) on an object is proportional to the difference between the time T(t) and the temperature Tm of the surrounding medium; that is dT = k(T-Tm) dt Where k is a constant of proportionality. By solving the differential equation, show that the temperature of the coach's body is given by T = 70+ Cekt

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.1: Exponential Functions

Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...

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