Consider the function f(x) = 3.x5 + 2x – 1 and the equation f (x) = 0. %3D (a) Show (by hand) that there is a unique simple root r in the interval [0, 1]. (b) Use the bisection procedur correct decimal places. Report the approximation xe, number of steps needed, and the backward error |f(xc)]- to approximater to eight (c) Build a fixed point iteration procedure g(x) of f(x), starting from xo = 0.5. Report the approximation xc, number of steps needed, and the backward error |f(xc)| = x (not Newton's) to find the root

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