Use Newton's method to obtain the third approximation, x,, of the positive fourth root of 8 by calculating the third approximation of the right 0 of f(x) =x* - 8. Start with x, = 1. The third approximation of the fourth root of 8 determined by calculating the third approximation of the right 0 of f(x) = x* - 8, starting with x, = 1, is (Round to four decimal places.)

Calculus: Early Transcendentals
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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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Use Newton's method to obtain the third approximation, x,, of the positive fourth root of 8 by calculating the third approximation of the right 0 of f(x) =x* - 8. Start with x, = 1.
The third approximation of the fourth root of 8 determined by calculating the third approximation of the right 0 of f(x) = x* - 8, starting with x, = 1, is
(Round to four decimal places.)
Transcribed Image Text:Use Newton's method to obtain the third approximation, x,, of the positive fourth root of 8 by calculating the third approximation of the right 0 of f(x) =x* - 8. Start with x, = 1. The third approximation of the fourth root of 8 determined by calculating the third approximation of the right 0 of f(x) = x* - 8, starting with x, = 1, is (Round to four decimal places.)
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Hence, the third approximation is x2 = 2.16

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