Two large airship hangars were built in Orly, France, in the early 1900s but were destroyed in World War II by American aircraft. The hangars were 175 m in length, 90 m wide, and 60 m high and were formed by a series of parabolic arches. a. Set up a coordinate system with (0, 0) at the vertex of one of the arches and write an equation of the parabola. b. What is the focal length of an arch?

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.