2. Consider the equation 2x³ + 5x – 4 = 0, 0 < x< 1. i) Show that by using Newton's formula, the solutions of the equation can be deduced 4x+4 ,n = 0,1,2, .... 6x+5' to xn+1 = ii) Hence, show that the approximated root is 0.67628 correct to 5 decimal places.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. Consider the equation 2x3 + 5x – 4 = 0, 0 < x< 1.
i)
Show that by using Newton's formula, the solutions of the equation can be deduced
4x+4
',n =
6x,+5''
0,1,2, ...
to xn+1 =
ii)
Hence, show that the approximated root is 0.67628 correct to 5 decimal places.
Transcribed Image Text:2. Consider the equation 2x3 + 5x – 4 = 0, 0 < x< 1. i) Show that by using Newton's formula, the solutions of the equation can be deduced 4x+4 ',n = 6x,+5'' 0,1,2, ... to xn+1 = ii) Hence, show that the approximated root is 0.67628 correct to 5 decimal places.
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