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University of Missouri - Columbia

# 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 measured in meters and $\mid x \mid \le 91.20.$(a) Graph the central curve.(b) What is the height of the arch at its center?(c) At what points is the height $100 m?$(d) What is the slope of the arch at the points in part (c)?

## A)$|x|<91.2$$\\B)190.53 \mathrm{~m}$$\\$C)$x \approx \pm 71.56 \mathrm{~m}$$\\$D)Slope $=\pm 3.6048296591$

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MP

Matt P.

September 9, 2020

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 2 3 x2, y = 5 3 ? x2; about the x-axis

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University of Missouri - Columbia

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