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3. Apply the Newton-Raphson method to the function f(x) = tanh (x²-9) to evaluate its known real root at x = 3. Use an initial guess of xo = 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.

3. Apply the Newton-Raphson method to the function f(x) = tanh (x²-9) to evaluate its known real root at x = 3. Use an initial guess of xo = 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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please solve item no.3 and show a clear and readable solution. Thanks!!!

II. Non-linear Equations of Single Variable B. Open Methods 3. Apply the Newton-Raphson method to the function f(x) = tanh (x² - 9) to evaluate its known real root at x = 3. Use an initial guess of xo = 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.
Transcribed Image Text:II. Non-linear Equations of Single Variable B. Open Methods 3. Apply the Newton-Raphson method to the function f(x) = tanh (x² - 9) to evaluate its known real root at x = 3. Use an initial guess of xo = 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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