Law of Cooling erature, u, of a heated object at a given time t can be modeled by the equation u(t) = T+ (uo - T)ekt <0 is a constant, T is constant ambient temperature, and zo is the initial temperature of the heated object. e that an object has been heated to 58 degrees celsius and is then allowed to cool in a room that is kept at a constant 31 mperature of the obiect is 16 27
Law of Cooling erature, u, of a heated object at a given time t can be modeled by the equation u(t) = T+ (uo - T)ekt <0 is a constant, T is constant ambient temperature, and zo is the initial temperature of the heated object. e that an object has been heated to 58 degrees celsius and is then allowed to cool in a room that is kept at a constant 31 mperature of the obiect is 16 27
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
Transcribed Image Text:Newton's Law of Cooling
The temperature, u, of a heated object at a given time t can be modeled by the equation
u(t) = T+ (uo - T)ekt
where k<0 is a constant, T is constant ambient temperature, and wo is the initial temperature of the heated object.
Suppose that an object has been heated to 58 degrees celsius and is then allowed to cool in a room that is kept at a constant 31 degrees
celsius.
If the temperature of the object is 46 degrees celsius after 8 minutes, when will its temperature be 37 degrees celsius?
minutes.
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