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A cup of coffee cools down. The difference between the coffee temperature and the room temperature is given by \(D(t) = 70(0.9)^t\), where \(t\) is in minutes.
Find the temperature difference at \(t=0\).
Find the temperature difference after 10 minutes.
If the room temperature is \(20^\circ\)C, what is the actual temperature of the coffee after 10 minutes?
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