A lake with no outlet is fed by a river with a constant flow of 1800 ft 3 s Water evaporates from the surface at a constant rate of 12 ft 3 s per square mile surface area Th e area varies with depth h (feet) as A (square miles) 4 5 5 5h What is the equilibrium depth of the lake Below what river dis...

To find the equilibrium depth of the lake we need to set the rate of inf ...

A lake with no outlet is fed by a river with a constant flow of 1800 ft

Question:

A lake with no outlet is fed by a river with a constant flow of 1800 ft ³/s. Water evaporates from the surface at a constant rate of 12 ft³/s per square mile surface area. Th e area varies with depth h (feet) as A (square miles) = 4.5 + 5.5h. What is the equilibrium depth of the lake? Below what river discharge will the lake dry up?

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