Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (-) < 0, ƒ (x) has a root in [0, 1]. To solve f(x) = 0 using fixed-point method, we may consider the equivalent equation x = = (1 + cos x). Let g(x) = (1 + cos x). Since [g'(0)| < 1, the fixed-point iteration x₂ = g(xn-1), with xo = 0, will converge. What is x4? (Answer must be in 8 decimal places)

Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (-) < 0, ƒ (x) has a root in [0, 1]. To solve f(x) = 0 using fixed-point method, we may consider the equivalent equation x = = (1 + cos x). Let g(x) = (1 + cos x). Since [g'(0)| < 1, the fixed-point iteration x₂ = g(xn-1), with xo = 0, will converge. What is x4? (Answer must be in 8 decimal places)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.CR: Chapter 4 Review

Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...

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