Solve using PythonThe Gateway Arch in St$.$ Louis is shaped according to the equation:

$y=705\mathrm{.}8-71\mathrm{.}8cosh\frac{x}{88\mathrm{.}4}ft.$

Make a plot of the Arch for $-400x400ft.$ Write a lambda function $y(x),$ where $x$ can be an array of distances $(-500x500ft).$ Label your

figure properly $($including units, title, and axis labels$)$ for full credit.

Hints:

When using a Numpy array, use numpy. cosh instead of the standard math. cosh for cosh operations.