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When Newton's Method is used to approximate the root of f(x) = x³ + 2x² - 1 in in the interval [0, 1], what is .x₂ rounded to the nearest hundredth? Use .xo = 1, round each step to the nearest hundredth, and do not include "x₂ =" in your answer. Provide your answer below:

When Newton's Method is used to approximate the root of f(x) = x³ + 2x² - 1 in in the interval [0, 1], what is .x₂ rounded to the nearest hundredth? Use .xo = 1, round each step to the nearest hundredth, and do not include "x₂ =" in your answer. Provide your answer below:

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 68E
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Calculus
When Newton's Method is used to approximate the root of f(x) = x³ + 2x² - 1 in in the interval [0, 1], what is .x2 rounded to the nearest hundredth? Use xo = 1, round each step to the nearest hundredth, and do not include "x₂ =" in your answer. Provide your answer below: @ 2 Content attribution 199 W S X FL do mmand 3 80 E D 4 C. 888 FA R F %. 5 V T G MacBook Air 6 B Y & 7 H W U N 8 J 1 ( 9 M K 0 O V H FEEDBACK L P I V command ; opt
Transcribed Image Text:When Newton's Method is used to approximate the root of f(x) = x³ + 2x² - 1 in in the interval [0, 1], what is .x2 rounded to the nearest hundredth? Use xo = 1, round each step to the nearest hundredth, and do not include "x₂ =" in your answer. Provide your answer below: @ 2 Content attribution 199 W S X FL do mmand 3 80 E D 4 C. 888 FA R F %. 5 V T G MacBook Air 6 B Y & 7 H W U N 8 J 1 ( 9 M K 0 O V H FEEDBACK L P I V command ; opt
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