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

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Advance Math

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

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