$(2)$ Generate a surface plot of the following equation.

$(6pts)$

$Z=sin\frac{\sqrt[\phantom{2}]{x**x+Y**Y}}{\sqrt[\phantom{2}]{x**x+Y**Y}}$

You should explore the range $($start with $-10$ to $10)$ and the pitch $($how small each square will be$),$ so that the output shows the ripple effect of the function.

Please note when $x=0$ and $Y=0,$ the denominator becomes $0.$ You need to add a very small value, epsilon $($eps in MATLAB$),$ so that $(x**x+Y**Y+$eps $)$ should be used above equation. Please make sure you understand the vectorized evaluation of your equation $("{?}^{{?}^{?}}$ in the following example$).$

The following example code $($range $-5$ to $5)$ generates the surface plot of $z=2-x^2-y^2.$

$xg=$ linspace $(-5,5,20)$

$[x,Y]=$ meshgrid $(xg,xg)$

$Z=2-x.{?}^{{?}^{{?}^{?}}}2-Y.{?}^{{?}^{{?}^{?}}}2$

surf$(x,Y,Z)$

Example output of: $z=2-x^2-y^2$