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Newton's Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings.Suppose that a roast turkey is taken from an oven when its temperature has reached and is placed on a table in a room where the temperature is
If
is the temperature of the turkey after
minutes, then Newton's Law of Cooling implies that
This could be solved as a separable differential equation.Another method is to make the change of variable
If the temperature of the turkey is
after half an hour, what is the temperature after 35 min?
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