(3) Apply Newton's Method to f(x) = 2 with a starting value of x1 = 0.5 and compute the values of x2, 23, X4,...,'10 and determine if they seem to be converging to some value. Explain what is happening. (4) Consider the function f(x) = x1/3. (a) Graph f(x). Where is the root of f(a)? (b) Apply Newton's method to f(x) and show that the newton iterates In can be computed by In = -2Xn-1. (c) Let your first guess, x1, be x1 = 1. Compute X2, 23, 24, 25. Describe, using a graph, what is happening. Will Newton's method converge to the root of f(x)? Explain. (d) Find a formula for En in terms of n only. (5) Consider the function f(x) = 22/3. (a) Graph f(x). Where is the root of f(x)