Newton's law of cooling indicates that the temperature of a warm object will decrease exponentially with time and will approach the temperature of the surrounding air. The temperature Tú) is modeled by T) TTo-T-k. In this model, T represents the temperature of the surrounding air, To represents the initial temperature of the object and ris the time after the object starts cooling. The value of k is the cooling rate and is a constant related to the physical propertie the object. A cake comes out of the oven at 335°F and is placed on a cooling rack in a 70°F kitchen. After checking the temperature several minutes later, it is determined that the cooling rate k is 0.050. Write a function that models the temperature Tt) (in °F) of the cake tminutes after being removed from the oven.
Newton's law of cooling indicates that the temperature of a warm object will decrease exponentially with time and will approach the temperature of the surrounding air. The temperature Tú) is modeled by T) TTo-T-k. In this model, T represents the temperature of the surrounding air, To represents the initial temperature of the object and ris the time after the object starts cooling. The value of k is the cooling rate and is a constant related to the physical propertie the object. A cake comes out of the oven at 335°F and is placed on a cooling rack in a 70°F kitchen. After checking the temperature several minutes later, it is determined that the cooling rate k is 0.050. Write a function that models the temperature Tt) (in °F) of the cake tminutes after being removed from the oven.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
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Transcribed Image Text:Newton's law of cooling indicates that the temperature of a warm object will
decrease exponentially with time and will approach the temperature of the
surrounding air. The temperature Tú) is modeled by T) TTo-T-k. In
this model, T represents the temperature of the surrounding air, To represents the
initial temperature of the object and ris the time after the object starts cooling.
The value of k is the cooling rate and is a constant related to the physical propertie
the object.
A cake comes out of the oven at 335°F and is placed on a cooling rack in a 70°F
kitchen. After checking the temperature several minutes later, it is determined
that the cooling rate k is 0.050. Write a function that models the temperature Tt)
(in °F) of the cake tminutes after being removed from the oven.
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