1Consider the roots (zeros) of f(x) =a³ – 4x + 1.7+6-5-4--4-3-23-1--2--3-4-5+We will see that small changes in the choice of x, produce different roots, or none at all.For each x, given, state the root (zero) of f(x) to which the algorithm converges, or writeDNE if it does not converge.round to 3 decimal placesIf x, = 1.85, then Newton's Method converges to: x =If r.1.7, then Newton's Method converges to: * =If To1.55, then Newton's Method converges to: 2 =3.

Given, f(x)=13x3-4x+1f'(x)=x2-4by newton's method xn+1=xn-f(xn)f'(xn)x0=initial guess

Consider the roots (zeros) of f(x) = a³ – 4x + 1. 7+ 6 5 3 -4 -3 -2 -1 3 -1 -2 - -3 - -4 -5- We will see that small changes in the choice of r, produce different roots, or none at al For each r. given, state the root (zero) of f(x) to which the algorithm converges, or w DNE if it does not converge. round to 3 decimal places If x, = 1.85, then Newton's Method converges to: # = If x, = 1.7, then Newton's Method converges to: æ = If x, = 1.55, then Newton's Method converges to: x = 2.

Consider the roots (zeros) of f(x) = a³ – 4x + 1. 7+ 6 5 3 -4 -3 -2 -1 3 -1 -2 - -3 - -4 -5- We will see that small changes in the choice of r, produce different roots, or none at al For each r. given, state the root (zero) of f(x) to which the algorithm converges, or w DNE if it does not converge. round to 3 decimal places If x, = 1.85, then Newton's Method converges to: # = If x, = 1.7, then Newton's Method converges to: æ = If x, = 1.55, then Newton's Method converges to: x = 2.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 47EQ

See similar textbooks