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The Gateway Arch in St. Louis was designed by Eero Saarinen and was constructed using the...

The Gateway Arch in St. Louis was designed by Eero Saarinen and was constructed using the equation

y = 211.49 − 20.96 cosh(0.03291765x)

for the central curve of the arch, where x and y are in meters and

|x| ≤ 91.20.

(b) What is the height of the arch at its center? (Round your answer to two decimal places.)

(c) At what points is the height 60 m? (Round your answers to two decimal places.)


(d) What is the slope of the arch at the points in part (c)? (Round your answers to one decimal place.)

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