A graphing calculator is recommended. 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 |×| ≤ 91.20. (a) Graph the central curve. y 0-100 200 150 100 50 -50 50 100 200 y 200 150 150 100 50 100 50 y x x L -100 -50 50 (i) 100 -100 -50 50 100 i i (b) What is the height (in m) of the arch at its center? (Round your answer to two decimal places.) 190.53 m (c) At what points is the height 60 m? (Round your answers to two decimal places.) smaller x-value (x, y) = -78.90, 70 larger x-value (x, y) = 78.90, 70 (d) What is the slope of the arch at the points in part (c)? (Round your answers to one decimal place.) × at the point with smaller x-value at the point with larger x-value 4.6 -4.6