Water is boiled in a cup and its placed in a room that is 25 degrees...

Water is boiled in a cup and its placed in a room that is 25 degrees Celsius. Assume that Newton's Law of Cooling is satisfied: the rate of change in water temperature is proportional to the difference between the temperature of the water and the temperature of the environment. We take the water temperature after 7 minutes and find it to be 77 degrees Celsius. Establish and solve an initial value problem to express the temperature of the water as a function of time, graph this function and calculate when the water temperature reaches 26 degrees Celsius.

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Colby Messinger answered 1 year ago

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