Consider the system of functionsg$1($x$,$ y$,$z$)=($x$1)2($y$1)2($z$1)2$g$2($x$,$ y$,$z$)=2$x$2+3$y$25$z$2$g$3($x$,$ y$,$z$)=$ ex cos$($y$).$Starting with $($p$0,$q$0,$r$0)=(0,1,0)$ and using Gauss$-$Seidel iteration, find the valueof $($p$1,$q$1,$r$1).$