(i) Write a well commented C++ program to implement Newton's method of finding the real roots of f(x) = 0 You may assume that a C++ function: bool CalcF (float x, float &v, float &g); is available to calculate the value of the desired function f(x) and f'(x) at x, and return these values in the reference parameters v and 9. CaleF(..) returns true if g is non zero, otherwise it returns false. Your program should provide a suitable input/output interface so that the user can choose different initial guesses and convergence limits. Fi