(Solved) : Hi Need Write Python Code Following Part B Done Hand Consider Nonlinear Equation F X Sin X Q26227106 . . . .

Hi I need to write a python code for thefollowing: (part a and b can be done by hand)
Consider the nonlinear equation:

f (x) = sin(πx) − x2= 0

(a) Can you “solve the equation by hand”, i.e. express the solutionx* explicitly in terms of
elementary functions and the constant π?

(b) Show that the equation f (x) = 0 has the same solution(s) asg(x) = x if
g(x) =1/2π(sinπx)-1/2π(x2)+x

In fact, we can show that for any initial point in (0, 2] thesequence xk= g(xk−1 ) converges to a
unique solution x* .
(c) Write a function that computes this sequence. Your functionshould:
– Take for input the