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categoryرياضيات schoolبكالوريوس event_available2026-07-13

السؤال

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Probelm 1. Use Fixed-point iteration to find the root of f(x)=2+1.5x−0.5x² with an initial guess of x0=2 and a stopping criterion es=0.001. (a) Use the Matlab function roots (b) Use the form X new= 2 + 1.5 x − 0.5 x² + x (c) Use the form X new = (0.5 x² - 2) / 1.5 (d) Use the form xnew = sqrt( (1.5 x + 2) / 0.5 ) (e) Discuss your observations and explain the differences in results (b)–(d).

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