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Question: The level-flow system is Figure is to be analyzed. The flow F_o is constant. The flow F₃ depends on the valve opening but not on the levels, whereas flows F₁ and F₂ depend on the varying pressures (i.e., levels). The system is initially at steady state, and a step increase in F₃ is made by adjusting the valve. Determine the dynamic response of the levels and flows using an approximate linear model. Without specific numerical values, sketch the approximate dynamic behavior of the variables.

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