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Newton's method to obtain the third approximation, x2, of the positive nird approximation of the fourth root of 5 determined by calculating th nd to four decimal places.)

Newton's method to obtain the third approximation, x2, of the positive nird approximation of the fourth root of 5 determined by calculating th nd to four decimal places.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
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Use Newton's method to obtain the third approximation, x2, of the positive fourth root of 5 by calculating the third approximation of the right 0 of f(x) = x* -5. Start with x, = 1. The third approximation of the fourth root of 5 determined by calculating the third approximation of the right 0 of f(x) = x* - 5, 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 5 by calculating the third approximation of the right 0 of f(x) = x* -5. Start with x, = 1. The third approximation of the fourth root of 5 determined by calculating the third approximation of the right 0 of f(x) = x* - 5, starting with x, = 1, is (Round to four decimal places.)
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