Boil water in a bowl and cool in a room. The air temperature in the room...

Boil water in a bowl and cool in a room. The air temperature in the room is increasing linearly according to the function Ta (t) = 22 + 0.015t (t in minutes, T in ° C). Assume that Newton's Law of Cooling is satisfied: the rate of change of 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 8 minutes and find that it is 82 ° C. Explain and graph Ta Establish and solve an Initial Value Problem to express the water temperature as a function of time, graph this function.

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genius_generous answered 2 years ago

Water is boiled in a bowl and cooled in a room. The air temperature in the...

Water is boiled in a bowl and cooled in a room. The air temperature in the room is increasing linearly according to the function Ta(t) = 30 + 0.01t (t in minutes, T in ∘C. Assume that Newton's Law of Cooling is satisfied: the rate of change of the temperature of the water is proportional to the difference between the temperature of the water and the temperature of the environment. We take the temperature of the water after 10 minutes...

Newton's Law of Cooling: Boil water in a cup and cool in a room at 32∘C....

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Water is boiled in a cup and put to cool down inside a room. The air...

Water is boiled in a cup and put to cool down inside a room. The air temperature in the room is increasing linearly according to the function Ta(t) = 22 + 0.015t (t in minutes, T in Celsius). Assume Newton’s Law of Cooling is satisfied: the rate of change of water temperature is proportional to the difference between the temperature of the water and the temperature of the environment. The temperature of the water was checked after 8 minutes and...

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A thermometer is taken from an inside room to the outside, where the air temperature is...

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