The air in a room with volume 180 m³ contains 0.3% carbon dioxide initially. Fresher air with only 0.05% carbon dioxide flows into the room at a rate of 2 m³/min and the mixed air flows out at the same rate. Find the percentage p of carbon dioxide in the room as a function of time t (in minutes). p(t) = 0.5556e % +0.7 X What happens to the percentage of carbon dioxide in the room in the long run? lim p(t) = 0.007 X %

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