Determine the roots of the simultaneous nonlinear equations using the Newton$-$Raphson method. Determine the roots of the simultaneous nonlinear equations using the Newton$-$Raphson method. $[$ f$\_1($x$,$ y$)=$x$^2+1-$y; f$\_2($x$,$ y$)=2$ cos $($x$)-$y $]$ Use x$\_0=0\mathrm{.}7$ and y$\_0=1\mathrm{.}5$ as your initial guesses $(\backslash$epsi $\_$s$=0\mathrm{.}5\%).$