QUESTION 15Which of the following statements is NOT TRUE?The first approximation of the root is always same in both Secant Method and False Position Method.Bisection Method always converges.Secant Method converges faster than False Position Method.Secant Method always converges.QUESTION 16Click Save and Submit to save and submit. Click Sae All Answers to save all answers.MithdewsSave All Answer

Answered: QUESTION 15 Which of the following…

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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(Babylonian Method). All numerical answers should be rounded to 6-digit floating-point numbers. (0) If A > 0 is a positive number, then given a real number xo, the sequence (xn) defined recursively by where n > 0 is a natural number, converges to √A, that is, provided that the initial term xo is chosen 'not too badly'. In practice, calculation of terms xn is carried out till this or that stopping criterion is triggered. (i) Let (xn) be the sequence defined recursively by (ii) Generate the terms and x0 = 94 (as it could be guessed from part (0), the sequence (xn) converges to √946). x() = Xn+1= = = (x++) ₁ (n ≥ 0), x1 = x2 = of the sequence (xn) till you find the term x N satisfying the condition x3 = fl(xN) = fl(xN-I (our stopping criterion), where fl(z) denotes the result of rounding of a real number z to a 6-digit floating-point number. Along the way, once the k-th term xk is generated, enter in the corresponding input field the result fl(xk) of rounding of xk to a 6-digit…
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QUESTION 15 Which of the following statements is NOT TRUE? O The first approximation of the root is always same in both Secant Method and False Position Method. Bisection Method always converges. Secant Method converges faster than False Position Method. Secant Method always converges.