Please answer using MatLab

The purpose of this exercise is to apply fixed-point iterations to solve the root-finding problem: f(x) = x3 + 4x2-10-0 There is a root of f in 1,2), which you wll approximate. There are two ways to turn this problem to a fixed-point problem (x)-x, by defining either 1 (x)--x3-4x2 + x + 10 or In your prob2), generate eight (8) terms of the two sequences ak, and bk, defined as 1.5 1 (ak), k = 1, = 1.5 a, ak +1 = ,7 bk+1 2(bk), k = 1,-.. ,7 = = and plot each sequence in its own figure Comment on the convergence of the sequences obtained, and explain how the theory supports your results, by studying , and . (You do not need to provide plots for this last part, but you may need to plot and to formulate your answer.) The purpose of this exercise is to apply fixed-point iterations to solve the root-finding problem: f(x) = x3 + 4x2-10-0 There is a root of f in 1,2), which you wll approximate. There are two ways to turn this problem to a fixed-point problem (x)-x, by defining either 1 (x)--x3-4x2 + x + 10 or In your prob2), generate eight (8) terms of the two sequences ak, and bk, defined as 1.5 1 (ak), k = 1, = 1.5 a, ak +1 = ,7 bk+1 2(bk), k = 1,-.. ,7 = = and plot each sequence in its own figure Comment on the convergence of the sequences obtained, and explain how the theory supports your results, by studying , and . (You do not need to provide plots for this last part, but you may need to plot and to formulate your answer.)