(e). Use the Newton's method to find solutions accurate within 10-5 for et-3x² = 0 for [3,5].

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 14T
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(a). Use the graph method to apprroximate the root of f(x) = x³ +3x-5, and use the provided
graph paper.
(b). Show that f(x) = x³+4x² - 10 = 0 has a root in the interval [1,2], and use the Bisection
method to determine an approximate solutions to the root that is accurate to at least within
10-4.
(c). Find an estimate for √2 that is correct to 6 decimal places, use the Bisection method to
approximate the solution in the interval [0,2].
(d). Use the Secant method to find solutions accurate within 10-5 for et +2x+2cosx-6=0
for [1,2].
(e). Use the Newton's method to find solutions accurate within 10-5 for et-3x² = 0 for [3,5].
Transcribed Image Text:(a). Use the graph method to apprroximate the root of f(x) = x³ +3x-5, and use the provided graph paper. (b). Show that f(x) = x³+4x² - 10 = 0 has a root in the interval [1,2], and use the Bisection method to determine an approximate solutions to the root that is accurate to at least within 10-4. (c). Find an estimate for √2 that is correct to 6 decimal places, use the Bisection method to approximate the solution in the interval [0,2]. (d). Use the Secant method to find solutions accurate within 10-5 for et +2x+2cosx-6=0 for [1,2]. (e). Use the Newton's method to find solutions accurate within 10-5 for et-3x² = 0 for [3,5].
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