A culture is growing at an hourly rate of [R^{prime}(t)=200 e^{0.5 t}] for (0 leq t leq

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A culture is growing at an hourly rate of

\[R^{\prime}(t)=200 e^{0.5 t}\]

for \(0 \leq t \leq 10\). Find the area between the graph of this equation and the \(t\)-axis. What do you think this area represents?

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