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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.)

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.)

Algebra & Trigonometry with Analytic Geometry
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, 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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