(a) Apply the Newton-Raphson method to the function f (x) = tanh(x2 9) to evaluate its
Chapter 6, Problem 6.11(choose chapter or problem)
(a) Apply the Newton-Raphson method to the function \(f(x)=\tanh \left(x^{2}-9\right)\) to evaluate its known real root at x = 3. Use an initial guess of \(x_{0}=3.2\) and take a minimum of three iterations.
(b) Did the method exhibit convergence onto its real root? Sketch the plot with the results for each iteration labeled.
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