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Derive the transfer function H’(s)/Q’(s) for the liquid-level system when a. The tank level operates about...

Derive the transfer function H’(s)/Q’(s) for the liquid-level system when a. The tank level operates about the steady-state value of hs = 1 ft. b. The tank level operates about the steady-state value of hs = 3 ft. The pump removes water at a constant rate of 10 cfm (cubic feet per minute); this rate is independent of head. The cross-sectional area of the tank is 1.0 ft2 and the resistance R is 0.5 ft/cfm.

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