Obtain the root of y(x) = x3 – 5×2 + 5x – 8 using the following methods:

Obtain the root of y(x) = x3 – 5×2 + 5x – 8 using the following methods:

(a) bisection method with the initial interval between x = 3 and x = 5;

(b) Newton–Raphson method using numerical derivative with the initial value x0 = 5.0;

(c) Newton–Raphson method using the analytic derivatives with the initial value x0 = 5.0.

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