Consider the following equation: arctan (2x) + x-1=0 where arctan is the is the arctangent function and returns angles i

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Consider The Following Equation Arctan 2x X 1 0 Where Arctan Is The Is The Arctangent Function And Returns Angles I 1 (77.6 KiB) Viewed 13 times

Consider the following equation: arctan (2x) + x-1=0 where arctan is the is the arctangent function and returns angles in radians. a) Show that the given function has only one root at interval [0,1]. b) Obtain the approximation value of that root, applying two iterations of Newton Method since the initial value xo 0. Build a table with the necessary values of k, xk, f (xk), f'(xk) to k = 0,1,2. Show the value of the obtained root approximation. c) Calculate an error estimative for the root approximation obtained in (b). =