The design of the Gateway Arch in St. Louis, Missouri, by architect Eero Saarinan was implemented using equations provided by Dr. Hannskarl Badel. The equation used for
the centerline of the arch was
for
(a) Use a graphing utility to graph the centerline of the arch.
(b) Find the length of the centerline to four decimal places.
(c) For what values of
(d) Approximate, to the nearest degree, the acute angle that the tangent line to the centerline makes with the ground at the ends of the arch.
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CALCULUS EARLY TRANSCENDENTALS W/ WILE
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