Question: 1) Using format long, write a MATLAB script that performs 6 Newton iterations to compute 31/5 starting with x0 = 2, that is, the script

1) Using format long, write a MATLAB script that performs 6 Newton iterations to compute 31/5 starting with x0 = 2, that is, the script should compute the Newton iterates x1,x2,x3,x4,x5,x6.

2) Find the unique real root of f(x) := 2x^5 5x^4 + 20x^3 10x^2 + 10x1 = 0 in [0,1]. Then verify that the 6th iteration has the real root using x_6 - 1/x_6+1 where x_6 is the last iterate from the first part.

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