Programming The goal of this lab is to design an iterative MATLAB program using a FOR loop to determine the roots of a series of given functions. To that end, the program should be able to calculate the derivatives of the given functions, substitute an initial value x, do the iteration using the FOR loop, plot the iterated roots approximations versus the number of iterations to verify the convergence of the Newton-Raphson scheme, and verify that the final approximated value is effectively the root of the function. 1. Task 1 Find the root of the function f(x) = x2-5. Determine the number of iterations realizing a convergence up to 20 digits. 2. Task 2 Find the root of the function f(x) = x - cos(x). Determine the number of iterations realizing a convergence up to 20 digits. 3. Task 3 Find the root of the function f(x) = x + 5x - 3. Determine the number of iterations realizing a convergence up to 20 digits. 4. Task 4 Approximate up to 20 decimals the number V3 using the Newton-Raphson scheme. Provide a digital copy of your script showing your MATLAB code. Explain your code step by step