A cable of a suspension bridge is suspended (in the shape of a parabola) between two towers
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A cable of a suspension bridge is suspended (in the shape of a parabola) between two towers that are 120 meters apart and 20 meters above the roadway (see figure). The cable touches the roadway midway between the towers.
(a) Find an equation for the parabolic shape of the cable.
(b) Find the length of the parabolic cable.
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