$(4\mathrm{.}13)$ Suppose you are an architect and planning to use a large arch of the parabolic shape given by $y(x)=$

$0\mathrm{.}1x(30-x)$ meters where $y(x)$ is the height above the ground and $x$ is in meters. Calculate the total length of

the arch by using the extended Simpson's rule. $($Divide the domain from $x=0$ to $x=30m$ into $10$ equally spaced

intervals.$)$ The total length of the arc is given by $L={\displaystyle \underset{0}{\overset{30}{}}}\sqrt[\phantom{2}]{1+(\frac{dy}{dx}{)}^2}dx.$ use matlab instead of python