Question

The following figure show the shapes and dimensions of small dams. Assuming the water level is at the top of the dam, find the total force on the face of the dam.

Parabolic dam The lower edge of a dam is defined by the parabola* y* = *x*^{2}>16 (as shown). Use a coordinate system with *y* = 0 at the bottom of the dam to determine the total force of the water on the dam. Lengths are measured in meters. Assume the water level is at the top of the dam.

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Calculus

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