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Use Newton's method to find the zeros of f(x) = 4x4 - 4x² using the given starting values in (a) through (c). √√2 (a) xo = -1.5 and x = -0.9, lying in -∞, - ← O A. For Xo = -1.5 and xo = -0.9, Newton's method does not converge. The values of x; alternate between 1.5 and 0.9 as i increases. OB. For Xo = -1.5 and xo = -0.9, x₁→ as i gets large.

Use Newton's method to find the zeros of f(x) = 4x4 - 4x² using the given starting values in (a) through (c). √√2 (a) xo = -1.5 and x = -0.9, lying in -∞, - ← O A. For Xo = -1.5 and xo = -0.9, Newton's method does not converge. The values of x; alternate between 1.5 and 0.9 as i increases. OB. For Xo = -1.5 and xo = -0.9, x₁→ as i gets large.

Advanced Engineering Mathematics
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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Use Newton's method to find the zeros of f(x) = 4x² - 4x² using the given starting values in (a) through (c). (a) xo = -1.5 and Xo = - 0.9, lying in = O A. For Xo = B. For Xo -1.5 and Xo 1.5 and Xo √2 (-∞, -1/2) == - 0.9, Newton's method does not converge. The values of x; alternate between 1.5 and 0.9 as i increases. == -0.9, X₁→ as i gets large.
Transcribed Image Text:Use Newton's method to find the zeros of f(x) = 4x² - 4x² using the given starting values in (a) through (c). (a) xo = -1.5 and Xo = - 0.9, lying in = O A. For Xo = B. For Xo -1.5 and Xo 1.5 and Xo √2 (-∞, -1/2) == - 0.9, Newton's method does not converge. The values of x; alternate between 1.5 and 0.9 as i increases. == -0.9, X₁→ as i gets large.
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