Cee384 - recitation problems - determine the highest real

Question

Recitation Problems -

1. Determine the highest real root of f(x) = 2x³ - 11.7x² + 17.7x - 5

using the Newton-Raphson method with at least four iterations. Start with an initial guess of x₀ = 3.

2. Determine the real roots of f(x) = -1 + 5.5x - 4x² + 0.5x³

Create a MATLAB script that uses the Newton-Raphson method, iterating until the relative approximate error is less than 0.01%. Also plot the function and verify the roots graphically.