Question: A cable for a suspension bridge has the shape of a parabola with equation y = kx. Let h represent the height of the cable

A cable for a suspension bridge has the shape of a parabola with equation y = kx². Let h represent the height of the cable from its lowest point to its highest point and let 2w represent the total span of the bridge (see figure). Show that the length C of the cable is given by

C= 2 . 1 + (42/w4)x2 dx.

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