a) Using Quadratic Interpolation Technique find the minimum of the function f(x)= x2 - 4sin(x),b) Using iterated quadratic interpolation iterate from (0 to 7) assuming the root lies between 0.2 and 1.8, and take 0.2, 0.8 and 1.8 as initial points.Additionally; (See picture) Complete the table by:1. Find the values of f(x₁), f(x₂), ƒf(x3), for all the iteration from (0 to 7)2. Calculate the x* the approximation to the optimum x*3. Find the value of f(x*) for all the iteration from (0 to 7)IterX1X2X3f(x₁)f (x₂) f(x3)f(x*)

Given Information:The function is given as .To find:a) Use quadratic interpolation technique, find…

Answered: a) Using Quadratic Interpolation…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.5: Iterative Methods For Solving Linear Systems

Problem 20EQ

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a) Using Quadratic Interpolation Technique find the minimum of the function f(x)= x2 - 4sin(x), b) Using iterated quadratic interpolation iterate from (0 to 7) assuming the root lies between 0.2 and 1.8, and take 0.2, 0.8 and 1.8 as initial points. Additionally; (See picture)