$($Please use MATLAB give the code down DONOT USE PYTHON$)$

The shape of the centroid line of the Gateway Arch in St$.$ Louis can be modeled approximately with the equation:

$f(x)=693\mathrm{.}9-68\mathrm{.}8cosh(-\frac{x}{99\mathrm{.}7})$ for

$-299\mathrm{.}25x299\mathrm{.}25ft.$

By using the equation:

$L={\displaystyle \underset{a}{\overset{b}{}}}\sqrt[\phantom{2}]{1+[f^{\text{'}}(x){]}^2}dx$

determine the length of the arch.

Plot the profile of the arch.