Numerical solution of the nonlinear algebratic system of equitations using Newton Raphson Method

Use the Newton$-$Raphson method to find the roots of the following system of nonlinear equations:

$f1(x,y)=x2+y2-4=0$

$f2(x,y)=sin(x)-y-1=0$

Implement the Newton$-$Raphson algorithm method in MATLAB.

Test the algorithm with different initial guesses and analyze the convergence.

Visualize the iteration process in a $3$D plot.

Task: Submit the developed code and write a short report discussing and interpreting the results $($it should include the results with different initial guesses and visual with $3$D plots$)$