The equation e* = 10(x² - 1) has two positive roots and one negative root. (a) Find all three roots correct to two decimal figures by writing the equation in the form x = g(x) in three different ways and performing the iteration procedure x+1 = g(x) for cach. Show the whole sequence of approximations generated by the method for each of the three cases. (b) For each of the roots. verify that the convergence condition is satisfied at the root.

The equation e* = 10(x² - 1) has two positive roots and one negative root. (a) Find all three roots correct to two decimal figures by writing the equation in the form x = g(x) in three different ways and performing the iteration procedure x+1 = g(x) for cach. Show the whole sequence of approximations generated by the method for each of the three cases. (b) For each of the roots. verify that the convergence condition is satisfied at the root.

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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