Question: Consider the function f(x) = sin(x -sqrt 3) - x + sqrt 3 (a) Let xl = 1 and xu = 2 and run one

Consider the function f(x) = sin(x -sqrt 3) - x + sqrt 3 (a) Let xl = 1 and xu = 2 and run one iteration of the Bisection method for approximating the root of f(x) and determine xl and xu for the second iteration.

(b) If Newton's method is used to compute an approximation to a zero of f(x) using the initial approximation x0 = 1, convergence is obtained to the zero xt = sqrt 3. If this computation is carried out, what is the order of convergence? Justify your answer (c) Determine the multiplicity of the of the zero xt =sqrt 3.

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