Use Newton's method to obtain the third approximation, x2, of the positive fourth root of 11 by calculating the third approximation of the right 0 of f(x) = x* - 11. Start with x, =1. The third approximation of the fourth root of 11 determined by calculating the third approximation of the right 0 of f(x) = x* - 11, starting with x, = 1, is (Round to four decimal places.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 71E
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Use Newton's method to obtain the third approximation, x2, of the positive fourth root of 11 by calculating the third approximation of the right 0 of f(x) = x* - 11. Start with x, =1.
The third approximation of the fourth root of 11 determined by calculating the third approximation of the right 0 of f(x) = x* - 11, starting with x, = 1, is
(Round to four decimal places.)
Transcribed Image Text:Use Newton's method to obtain the third approximation, x2, of the positive fourth root of 11 by calculating the third approximation of the right 0 of f(x) = x* - 11. Start with x, =1. The third approximation of the fourth root of 11 determined by calculating the third approximation of the right 0 of f(x) = x* - 11, starting with x, = 1, is (Round to four decimal places.)
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