. This problem should be done using hand calculations. Solutions resulted from software or coding will not be accepted. All calculations must be shown. (a) write the first three iterations of Bisection method applied to f (x) = x3 + 4x2 10 = 0 in the interval [1, 2]. (b) redo part (3) using Newton's method. (c) redo part (3) using fixed point-point method. (d) given that the exact real root off(x) is x, = %(4 + 3 71 34105 + 3w} 71 + 341 5 l, compute the absolute relative and percent relative error of the third iteration for each of parts (a), (b) and (c). (e) comment on rate of convergence of each method