Answered: Using Fixed-Point Iteration for…

Using Fixed-Point Iteration for determining the root of x2+x−1 using the given manipulation: xi+1=sqrt(1−xi) with an initial guess of 0.5 , determine the value of xi+1in the fourth iteration.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 43RE

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Question

Using Fixed-Point Iteration for determining the root of x²+x−1 using the given manipulation: xi+1=sqrt(1−xi) with an initial guess of 0.5 , determine the value of xi+1in the fourth iteration.

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