Question 5: (40 pts) Root Finding This problem has two parts. Be sure to answer them both (see next page). (Hint for Practice exam only: see more similar problems in the Problems Section of chapter 6 of C&C) (a) Apply the secant method to approximate the root location for the function: (30 pts) f(x) = -0.7x+3.3x + 4.5 Start with initial guesses of x = -4.0 and x = -3.0. Complete three iterations of the method. Show your work and place your answers in the following table. Iteration x1-1 1 -4.0 -3.0 2 3 x1+1 % Relative Approximation Error Root estimate after 3 iterations = (b) A common way to estimate the error in root-finding methods is to use the percent relative (10 pts) approximate error: Ea -xold w x 100% However, this error estimate will fail to be useful in certain circumstances. Explain precisely why this error estimate is not useful when using bisection and an initial bracket of [-2,2].