Question: - Question #11: A function f(x) = x3 7x + 4x + 12 has one root in the interval I = (4.25, 8.95). In the

- Question #11: A function f(x) = x3 7x + 4x

- Question #11: A function f(x) = x3 7x + 4x + 12 has one root in the interval I = (4.25, 8.95). In the following, we [ would like to find the root using Newton's method along with Aitken acceleration: = 1. (1 Mark) Explain an advantage of using the Quasi- Newton Method over Newton's method. = 9 2. (7 Marks) Starting from 20 = 7.23 use Newton's iteration formula, up to four iterations, i.e., k=0,1,2,...,4, to find the approximate root of f (x)by applying Aitken acceleration only once appropriately. Express your result up to five decimal places where necessary. 3. (2 Marks) Suppose the actual root is 6. Calculate the percentage error of your last iteration value of root. Express your result up to three decimal places

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