(See Solution) Suppose that the income from a slot machine in a casino flows continuously at a rate of f(t)=200 e^0.3 t, where t is the time in hours since
Question: Suppose that the income from a slot machine in a casino flows continuously at a rate of \(f(t)=200 e^{0.3 t}\), where \(t\) is the time in hours since the casino opened. The total income during the first 12 hours is given by \(\int_{0}^{12} 200 e^{0.3 t} d t\). Find the average income over the first 12 hours.
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