Given the relation f(x) = 2x^2 + 1 - e^x a. Using the convert equation x = √( e^x -1)/ 2, find the 3rd estimate of the root and the 3rd iteration relative error using MOSS. Use x^0 = 1. Retain values to 4-decimal places. b. Using Newtons Method, find the 3rd estimate of the root. Use x^0 = 1. Retain values to 4- decimal places.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.1: Graphs Of Equations
Problem 9ECP
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Given the relation f(x) = 2x^2 + 1 - e^x
a. Using the convert equation x = √( e^x -1)/ 2,
find the 3rd estimate of the root and the 3rd
iteration relative error using MOSS. Use x^0 = 1.
Retain values to 4-decimal places.
b. Using Newtons Method, find the 3rd estimate
of the root. Use x^0 = 1. Retain values to 4-
decimal places.
Transcribed Image Text:Given the relation f(x) = 2x^2 + 1 - e^x a. Using the convert equation x = √( e^x -1)/ 2, find the 3rd estimate of the root and the 3rd iteration relative error using MOSS. Use x^0 = 1. Retain values to 4-decimal places. b. Using Newtons Method, find the 3rd estimate of the root. Use x^0 = 1. Retain values to 4- decimal places.
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