The function y=x³-2x-cosx has three real zeros. Use Newton-Raphson Method to determine these roots using the indicated initial estimate. Continue generating estimates until your calculator gives you the same values again and again. Round your answers to six decimal places. a) If x₁= = 1 is used, then the approximate root of the equation is Blank 1. b) Ifx = = 0 is used, then the approximate root of the equation is Blank 2. c) Ifx = -3.5 is used, then the approximate root of the equation is Blank 3.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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The function y=x³-2x-cosx has three real zeros. Use Newton-Raphson Method to
determine these roots using the indicated initial estimate. Continue generating estimates until
your calculator gives you the same values again and again. Round your answers to six decimal
places.
a) If x=
= 1 is used, then the approximate root of the equation is Blank 1.
b) Ifx = 0 is used, then the approximate root of the equation is Blank 2.
c) lfx₁=
= -3.5 is used, then the approximate root of the equation is Blank 3.
Transcribed Image Text:The function y=x³-2x-cosx has three real zeros. Use Newton-Raphson Method to determine these roots using the indicated initial estimate. Continue generating estimates until your calculator gives you the same values again and again. Round your answers to six decimal places. a) If x= = 1 is used, then the approximate root of the equation is Blank 1. b) Ifx = 0 is used, then the approximate root of the equation is Blank 2. c) lfx₁= = -3.5 is used, then the approximate root of the equation is Blank 3.
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