Question: Problem 6 . for this problem I is the vanable for the temperature, k is the growth constant ( or constant of proportionality ) and

Problem 6 . for this problem I is the vanable for the temperature, k is the growth constant ( or constant of proportionality ) and is positive. Newton's Law of cooling states that the temperature of an object changes at a rate proportional to the difference of the temperature of the surrounding medium and the temperature of the object. If the temperature of the suranding medium is SOOOF then the differential equation to model the situation is given by dT k ( 500 - 7 ) dt If we separate the variables , we get dT = kdt Integrating both sides with respect to t (using C as a constant of integration ) we get The temperature of the object is given by T =

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