Gateway Arch The Gateway Arch in St. Louis is often mistaken to be parabolic in shape

Chapter 7, Problem 75

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Gateway Arch The Gateway Arch in St. Louis is often mistaken to be parabolic in shape. In fact, it is a catenary, which has a more complicated formula than a parabola. The Arch is 625 feet high and 598 feet wide at its base. (a) Find the equation of a parabola with the same dimensions. Let x equal the horizontal distance from the center of the arc. (b) The table below gives the height of the Arch at various widths; find the corresponding heights for the parabola found in (a). (c) Do the data support the notion that the Arch is in the shape of a parabola?

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