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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 8E
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
Transcribed Image Text: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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