Problem $2(30$ points$)$ Solve for such that $f(x)=0$ where

$f_1(x)=2x_1^2+x_2^2-8=0$

$f_2(x)=x_1^2-x_2^2+x_1{x}_2-4=0$

$($a$)(10$ points$)$ Determine the Jacobian matrix

$($b$)(20$ points$)$ Find the values of $x^{(2)}$ and $f(x^{(2)})$ where $x^{(0)}=[\frac{1}{1}]$