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.)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Hence, the third approximation is x2 = 2.16
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