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x^3 - 1,2x^2 - 8,19x + 13,23 = 0 has a double root close to 2. Determine the root of this function using Newton-Raphson Method with four decimal places.

x^3 - 1,2x^2 - 8,19x + 13,23 = 0 has a double root close to 2. Determine the root of this function using Newton-Raphson Method with four decimal places.

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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a) x^3 - 1,2x^2 - 8,19x + 13,23 = 0 has a double root close to 2. Determine the root of this function using Newton-Raphson Method with four decimal places.

b) Find the roots of this function y= x sin x + 3 cos x - x = 0 with interval (-6,6) using Newton-Raphson Method.

Persamaan x 3 - 1.2x 2 – 8.19x + 13.23 = 0 memiliki akar ganda yang nilainya mendekati x = 2. Tentukan akar ini dengan menggunakan metode Newton-Raphson dengan ketelitian empat angka di belakang koma. (a) Carilah akar-akar persamaan y = x sin x + 3 cos x - x = 0 yang terletak dalam interval (-6, 6) dengan menggunakan metode Newton-Raphson. (b)
Transcribed Image Text:Persamaan x 3 - 1.2x 2 – 8.19x + 13.23 = 0 memiliki akar ganda yang nilainya mendekati x = 2. Tentukan akar ini dengan menggunakan metode Newton-Raphson dengan ketelitian empat angka di belakang koma. (a) Carilah akar-akar persamaan y = x sin x + 3 cos x - x = 0 yang terletak dalam interval (-6, 6) dengan menggunakan metode Newton-Raphson. (b)
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