Solve these numerical method problems. 1. Consider the function f(x) = V – cos(rr) in [0, 1] .a) Use bisection method and find p3.b) How many steps are required to achieve an approximation to the rootwith accuracy 10-22. Consider the function g(x) = 1 + sin().a) Show that g has a unique fixed point on the interval [0, 27]b) How many steps of the fixed point method are requiredto achieve an approximation to the fixed point with accuracy 10-2with po = Tc) Evaluate the iterations according to the number of iterations in (b).

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1. Consider the function f(r) = V – cos(rr) in [0, 1]. a) Use bisection method and find p3. b) How many steps are required to achieve an approximation to the root with accuracy 10-2 2. Consider the function g(r) = r + sin(). a) Show that g has a unique fixed point on the interval [0, 27] b) How many steps of the fixed point method are required to achieve an approximation to the fixed point with accuracy 10-2 with po = T

1. Consider the function f(r) = V – cos(rr) in [0, 1]. a) Use bisection method and find p3. b) How many steps are required to achieve an approximation to the root with accuracy 10-2 2. Consider the function g(r) = r + sin(). a) Show that g has a unique fixed point on the interval [0, 27] b) How many steps of the fixed point method are required to achieve an approximation to the fixed point with accuracy 10-2 with po = T

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.5: Applications

Problem 17EQ

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