Newton's Law of CoolingThe temperature, u, of a heated object at a given time t can be modeled by the equationu(t) = T+ (uo - T)ektwhere 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 degreescelsius.If the temperature of the object is 46 degrees celsius after 8 minutes, when will its temperature be 37 degrees celsius?minutes.

From first situation we can find value of k and putting in second situation we can find the required…

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