Generate a surface plot of the following equation. $(6$ pts$)$

Z $=$ sin$($sqrt$($X $*$ X $+$ Y $*$ Y$))/($sqrt$($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$)$

Exampleoutputof: z$=2-$x$2-$y$2$