Use Newton's method to find the zeros of f(x) = 3x - 3x using the given starting values in (a) through (c). gin (0.5) 2 (a) xo = 0.9 and Xxo = 1.1, lying in 0, A. For Xo = 0.9 and xo = 1.1, Newton's method does not converge. The values of x; alternate between 0.9 and 1.1 as i increases. B. For Xo = 0 9 and x = 1.1, x 1 as i gets large. (b) x = 0.23 and x = -0.5, lying in √21 √21 7 O A. x = 0.23 and xo = -0.5, Newton's method does not converge. The values of x, alternate between 0.23 and -0.5 as i increases. OB. For x = 0 23 and x = -0.5, xa as i gets large.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Use Newton's method to find the zeros of f(x) = 3x4 - 3x² using the given starting values in (a) through (c).
(a) xo = 0.9 and x = 1.1, lying in 0, 2
A. For Xo = 0.9 and xo = 1.1, Newton's method does not converge. The values of x; alternate between 0.9 and 1.1 as i increases.
B. For Xo = 0.9 and x = 1.1, X₁→ 1 as i gets large.
(b) x = 0.23 and x = -0.5, lying in
√21 √21
( )
7
7
O A. Xo = 0.23 and xo = -0.5, Newton's method does not converge. The values of x; alternate between 0.23 and -0.5 as i increases
B. For x = 0.23 and x = -0.5, x₁→ as i gets large.
Transcribed Image Text:Use Newton's method to find the zeros of f(x) = 3x4 - 3x² using the given starting values in (a) through (c). (a) xo = 0.9 and x = 1.1, lying in 0, 2 A. For Xo = 0.9 and xo = 1.1, Newton's method does not converge. The values of x; alternate between 0.9 and 1.1 as i increases. B. For Xo = 0.9 and x = 1.1, X₁→ 1 as i gets large. (b) x = 0.23 and x = -0.5, lying in √21 √21 ( ) 7 7 O A. Xo = 0.23 and xo = -0.5, Newton's method does not converge. The values of x; alternate between 0.23 and -0.5 as i increases B. For x = 0.23 and x = -0.5, x₁→ as i gets large.
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