6.Which of the following statement(s) is/are TRUE?The equation sin x – ax = 0 (a is any real constant) has one real root.I.The Bisection method can be applied to approximate the root of thefunction f(x) = x² – 2x + 1.III.IV.Newton's method may not converge at all.The Bisection method always converges.A.) I and IIB.) I,III and IVC.) Only IVD.) II, III and IVE.) III and IV

Newton's method: also know as Newton-Raphson method is an iterative method to approximate the real…

Which of the following statement(s) is/are TRUE? 1. II. The equation sin x – ax = 0 (a is any real constant) has one real root. The Bisection method can be applied to approximate the root of the function f (x) = x? – 2x + 1. Newton's method may not converge at all. II. IV. The Bisection method always converges. A.) I and II B.) 1,II and IV C.) Only IV D.) II, II and IV E.) II and IV 6.

Which of the following statement(s) is/are TRUE? 1. II. The equation sin x – ax = 0 (a is any real constant) has one real root. The Bisection method can be applied to approximate the root of the function f (x) = x? – 2x + 1. Newton's method may not converge at all. II. IV. The Bisection method always converges. A.) I and II B.) 1,II and IV C.) Only IV D.) II, II and IV E.) II and IV 6.

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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Question

6.
Which of the following statement(s) is/are TRUE?
The equation sin x – ax = 0 (a is any real constant) has one real root.
I.
The Bisection method can be applied to approximate the root of the
function f(x) = x² – 2x + 1.
III.
IV.
Newton's method may not converge at all.
The Bisection method always converges.
A.) I and II
B.) I,III and IV
C.) Only IV
D.) II, III and IV
E.) III and IV

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