Gateway Arch The shape of the Gateway Arch in St. Louis

Chapter 6, Problem 38

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Gateway Arch The shape of the Gateway Arch in St. Louis (with a height and a base length of 630 ft) is modeled by the function y = -630 cosh 1x>239.22 + 1260, where _ x _ 315, and x and y are measured in feet (see figure). The function cosh x is the hyperbolic cosine, defined by cosh x = ex + e-x 2 (see Section 6.10 for more on hyperbolic functions). Estimate the length of the Gateway Arch. 630 ft 630 ft x y O Additional Exercises

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