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Water is boiled and is put to cool. The temperature of the air in the room...

Water is boiled and is put to cool. The temperature of the air in the room is rising linearly in relation to the function T(t)=30+0.01t, where t is minutes and T is Celsius. Suppose this satisfies Newton's Law of Cooling: the change of temperature of the water is proportional to the difference of the water temperature and the room’s ambient temperature. We take the water's temperature 10 minutes after and find that it's 81*C. Graph and explain T. Establish and solve an Initial Value Problem to express the water temperature as a function of time. Do this graph.

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