Q$4(10$ marks$)$

For any initial guess, and a tolerance $t_{ol}=1e^{-12}.$

$x^2+e^{-x}+y^3=0$

$x^2+2xy-y^2+tan(x)=0$

i$.$ While using the Newton$-$Raphson procedure, find the solution within $(4$ steps$),$ including the ini Show your numerical hand steps details. $(5$ marks$)$

ii$.$ Write a code to show how to solve the same problem numerically. $(5$ marks$)$

$2$