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Determine the highest real root of (x) = x 3 - 6x 2 + 11x - 6.1: (a) Graphically. (b) Using the Newton-Raphson method (three

Determine the highest real root of (x) = x 3 - 6x 2 + 11x - 6.1:

(a) Graphically.
(b) Using the Newton-Raphson method (three iterations, x 0 = 3.5

(c) Using the secant method (three iterations, r -1 = 2.5 and x 0 = 3.5).

(d) Using the modified secant method (three iterations, x 0 = 3.5, δ = 0.01).

(e) Determine all the roots with MATLAS.

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