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Q4) Consider the following function f(x) = x3 + 6x2 - 4x - 2 a) Three fixed point formulations of the above functions are: i.
Q4) Consider the following function f(x) = x3 + 6x2 - 4x - 2 a) Three fixed point formulations of the above functions are: i. 9.(x) = (-x3 + 4x + 2) ii. 92(x) = x3 + 6x2 3x - 2 iii. 93(x) = (x3 + 6x2 2) Apply the condition of convergence to each of the above formulation to determine the convergence of each formulation when Xo = 1? State the condition of convergence for Fixed-Point method. b) The following table provides iteration of Fixed-Point method using 9.(x) as the formulation i Compute Xi ii. Compute the percentage relative approximate error in the value of xa. Ea(%) 1 i 0 1 2 3 4 5 Rough work for Q4 8
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