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Question: suppose that the temperature t tt of an object when...

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Suppose that the temperature (T T(t) of an object, when placed in a constant temperature environment T·changes with time according to the ODE dT dt =-k(T-T,) temperature of To - 0°C) is placed in a large room having temperature T -20°C, determine the temperature of this object 80 seconds after it is placed in this room if it is found that the objects temperature is one-half the rooms temperature 30 seconds after it is placed in this room.

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