Write programs (or a program) to implement the following algorithms: a. Bisection Method b. False Position Method c. Modified False Position Method d. Secant Method e. Newton Method Apply these methods to find the real root of the equation f(x)= x + 2x +10x - 20 Compare the convergence rates of the above methods by tabulating the iteration number(n). the values of x and f(x) for the following cases. a. Lower value = 0, Upper value= and use the absolute error criteria of 10-6. b. Lower value = 0, Upper value = 2, and use the absolute error criteria of 10-8. c. Lower value = 0, Upper value = 2, and use the absolute error criteria of 10-10 d. Lower value = 0, Upper value = 10, and use the absolute error criteria of 10-6 e. Lower value = 0, Upper value = 10, and use the absolute error criteria of 10- f. Lower value = 0, Upper value = 10, and use the absolute error criteria of 10-1 Compare and discuss the results.