Determine the approximate percentage relative error and highest real root of f (x) = 0.95x3 - 5.9x2 + 10.9x – 6 using: Bisection Method (three iteration, xl = 2.5 and xu = 3.5). False Position method...

Determine the approximate percentage relative error and highest real root of f (x) = 0.95x3 - 5.9x2 + 10.9x – 6 using:

1. Bisection Method (three iteration, xl = 2.5 and xu = 3.5).


2. False Position method (three iteration, xl = 2.5 and xu = 3.5).


3. Fixed-Point Iteration method (three iteration, xi = 3.5).


4. Newton-Raphson method (three iterations, xi = 3.5).


5. Secant method (three iterations, xi–1 = 2.5 and xi = 3.5).


6. Mullers method (three iterations, x0 = 2.5, x1 = 3.5, and x2 = 3)


7. Discuss your observation about the result of each method.