Determine the highest real root of (x) = 2x 3 11.7x 2 + 17.7x 5 (a) Graphically (b) Fixed-point iteration method (three

Determine the highest real root of

ƒ (x) = 2x³ – 11.7x² + 17.7x – 5

(a) Graphically

(b) Fixed-point iteration method (three iterations, x₀ = 3). Note: Make certain that you develop a solution that converges on the root.

(c) Newton-Raphson method (three iterations, x₀ = 3).

(d) Secant method (three iterations, x – ₁ = 3, x₀ = 4).

(e) Modified secant method (three iterations, x₀ = 3, δ = 0.01).Compute the approximate percent relative errors for your solution.