Only need problem 2.

Problem 1. Given function g(x)=x+41 (A). Show that g has a fixed point in [1,1]. (B). Show that fixed point iteration converges for any initial values chosen in [1,1] (C). Estimate the error xnx in the form of n(ba). (D). Use the estimate in (C) to estimate the number of iterations so that the error is less than 1010 Problem 2 ((Matlab assignment). For Problem 1, write a computer program to compute the fixed point with tolerance tol=1010. Yon may choose x0=0.5 as the initial value. In the while loop, do the iteration first, then the update (no credit if doing the update first as I did in class). Print out (i) the approximate solution; (ii) the number of iterations; (iii) the true error