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$)=$excos$($y$)$Starting with $($p$0,$q$0,$r$0)=(1,1,1)$ and using Gauss$-$Seidel iteration with $5$ digits rounded, the value of $($p$1,$q$1,$r$1)$