A new bridge is to be constructed over the East River in New York City.Two structural possibilities exist: the support could be in the shape of a parabola or the support could be in the shape of a semi-ellipse. The space between the supports needs to be 1050 feet. The height at the center of the arch needs to be 350 feet.

If the river were to flood and rise 10 feet, how would the channel widths and the clearances of the two bridges be affected? Explain, using numbers, how the width of the channel would be affected for each bridge.

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