Question 5 (25 points): The function x3 - 2x2 - 4x + 8 has a double root at x = 2. Use (a) [5 points) Standard Newton-Raphson (b) (5 points) Modified Newton-Raphson (the formula that has m in it) (c) (5 points) Modified Newton-Raphson (the formula that does not have m in it) (d) (10 points) Implement (a)-(d) using any programming language of your choice Compare and discuss the rate of convergence using an initial guess of Xo = 1.2. Use stopping criteria of x =1%. For (a)-(c), terminate after 5 iterations if the criteria is not met. For (d), terminate after 100 iterations if the stopping criteria is not met