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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 51E
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F256dbc8b-2bc9-463c-8f55-d3702041f8b6%2Fc17cbf6a-0f4c-437a-89fb-9f7f4082bfd4%2Fzl6abji_processed.png&w=3840&q=75)
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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