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1. Let f(x) =x*-15. Use Newton's method to find the root of f(x) with x1=2 and within a tolerance of 10-5..00001

1. Let f(x) =x*-15. Use Newton's method to find the root of f(x) with x1=2 and within a tolerance of 10-5..00001

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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1. Let f(x) = x*-15. Use Newton's method to find the root of f(x) with x = 2 and within a tolerance of 10-5.-00001 %3D f(xn) X-15 x,"- 15 4x Xn 2-IS 4(2)3 f(xn) (a)4-15 = 1 .033194513 Xn X3 = X, - X-15 3 4x3 Xa = 1. 96875 X3 1.9679901d. 000013437105 3.
Transcribed Image Text:1. Let f(x) = x*-15. Use Newton's method to find the root of f(x) with x = 2 and within a tolerance of 10-5.-00001 %3D f(xn) X-15 x,"- 15 4x Xn 2-IS 4(2)3 f(xn) (a)4-15 = 1 .033194513 Xn X3 = X, - X-15 3 4x3 Xa = 1. 96875 X3 1.9679901d. 000013437105 3.
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