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Plot the volume of the reservoir vs time during the first 8

The inflow to a small reservoir during a storm may be describe by the equation: Q=1000*(1-e^(-kt)) The outflow through the dam gates is held constant at 800 ft^3/s. The initial volume of the reservoir is 10*10^6 ft^3. Write the differential equation describing the rate of change in reservoir volume with time. Plot the volume of the reservoir vs time during the first 8 hours of the storm. At what time does the minimum volume occur? Does a maximum volume occur?

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