10-Which of the following is the approximate solution of x^3 – 3 = 0 using the Newton-Raphson method using the initial value x0 = 1? New ton-Raphson yöntem10 -kullanılarak hesaplanılarnO a) 1.1471B) 1.4117NS) 1.7141O D) 1.7411O TO) 1.4711

Newton Raphson method Steps (Rule) Step-1: Find points a and b such that a<b and…

Answered: 10-Which of the following is the…

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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Newton Raphson method Steps (Rule)
Step-1:	Find points a and b such that a<b and f(a)⋅f(b)<0.
Step-2:	Take the interval [a,b] and find next value x0=(a+b) /2
Step-3:	Find f(x0) and f′(x0) x1=x0- (f(x0)/f′(x0))
Step-4:	If f(x1)=0 then x1 is an exact root, else x0=x1
Step-5:	Repeat steps 2 to 4 until f(xi)=0 or \|f(xi)\|≤Accuracy