Root of the function program

Description

Write a program to compute the root of the function f(x) = x3 + 2 x2 + 10 x – 20   by Bisection method (interval [1,2] ), False Position method, Newton method ( x0 =2 ) and Secant method ( x0 = 2  ,  x1 =1 ). Stop computation when the successive values differ by not more than 0.5 * 10-5 . Evaluate  f(x) and f ‘(x) using nested multiplication. The output should contain:

(1) A table showing  at each step the value of the root , the value of the function,and the error based upon successive approximation values and percentage error for each method.

(2) A plot showing the variation of percentage error with iteration number  for each method on the same graph so as to compare the method.

UPLOAD THE PROJECT ON THE BLACK BOARD

Submit a report (hard copy) summarizing the results and the comparison graph