Consider the following function: 2x(x + 1) ln(x + 1) = 1 + x2 a) Define the function /r) using the handle b) Determine the approximate value of x using the graphical method (note that x e [0.75,0.8]). c) Perform two complete iterations using the false position method, with initial guesses, x d) Perform two complete iterations using the bisection method. Consider the solution (x/ and e) Determinex starting from the initial guesses, x 0.75 andxM-0.9. Set the stopping criteria 0.75 and x 0.9. Determine the absolute approximate error, &, of the 2nd iteration. %) obtained in part (c) as the initial guesses. as & 1x106, and compare the convergence of the following bracketing methods i. Bisection method [Hint: use bisect] ea = # iter ii. False Position method [Hint: use falsepos] ea = # iter f) Determine x starting from the initial guesses, x, = 0.75 and x" = 0.9. Compare the convergence of the following bracketing methods after 10 iterations i. Bisection method [Hint: use bisect] ea # iter ii. False Position method [Hint: use falsepos ea # iter