Consider the system of functions

g$1($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$\backslash$pi $)$

Starting with $($p$0,$q$0,$r$0)=(1,1,2)$

and using Gauss$-$Seidel iteration, the value of $($p$1,$q$1,$r$1)$

is

Question $1$Select one:

$($p$1,$q$1,$r$1)=(9,145,1)$

$($p$1,$q$1,$r$1)=(9,162,0\mathrm{.}9999)$

$($p$1,$q$1,$r$1)=(9,5,1\mathrm{.}368)$

$($p$1,$q$1,$r$1)=(9,1,0\mathrm{.}9999)$