A flat vertical gate in the face of a dam is shaped like

Chapter 6, Problem 6.41

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A flat vertical gate in the face of a dam is shaped like the parabolic region between the curve y = 4x 2 and the line y = 4, with measurements in feet. The top of the gate lies 5 ft below the surface of the water. Find the force exerted by the water against the gate (w = 62.4

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