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 zo is the initial temperature of the heated object. Suppose that an object has been heated to 59 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 42 degrees celsius after 7 minutes, when will its temperature be 36 degrees celsius? minutes.

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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 zo is the initial temperature of the heated object.
Suppose that an object has been heated to 59 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 42 degrees celsius after 7 minutes, when will its temperature be 36 degrees celsius?
minutes.
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 zo is the initial temperature of the heated object. Suppose that an object has been heated to 59 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 42 degrees celsius after 7 minutes, when will its temperature be 36 degrees celsius? minutes.
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