Part (a) must be in Python.

Problem 2. Let F(x)=0 be the system given by 811cos(x1)+91x22+31sin(x3)31sin(x1)+31cos(x3)91cos(x1)+31x2+61sin(x3)=x1=x2=x3 (a) Implement a fixed-point iteration x(k+1)=G(xk)),k0, with G(x) given by G(x)=811cos(x1)+91x22+31sin(x3)31sin(x1)+31cos(x3)91cos(x1)+31x2+61sin(x3) (b) Output the first 3 iterations starting with x(0)=(0,0,0)T. (c) Run the 100 iterations of the above algorithm. Plot G(x(k)2 versus k