PLEASE NOTE: Unless otherwise stated, ALL arguments of trigonometric functions are in radians.QUESTION 1(a) The root of f(x) = 4r²-3 is to be used to approximate √3/4 numerically.(i) Justify why the solution of the fixed point formula z = 4r²+r-3 is a root of f(x) = 0.(ii) Determine the interval of convergence of the fixed point in (i) above.(b) Perform ONE complete iteration of Newton's method for two variables for the nonlinear systemusing (1, 1) as the initial solution.xy + 2y = 1

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Answered: The root of f(x) = 4r²-3 is to be used…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.3: Trigonometric Functions Of Real Numbers

Problem 43E

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The root of f(x) = 4r²-3 is to be used to approximate √3/4 numerically. (i) Justify why the solution of the fixed point formula z=4r²+r-3 is a root of f(x) = 0. (ii) Determine the interval of convergence of the fixed point in (i) above.