3. The equation e* - 4x² = 0 has a root in the interval [4, 5], To find this root by fixed point iteration, write this equation in a form x = f(x) for which fixed point iteration works. Give reasons why fixed point iteration works for the form of the equation you selected, and then do one step of fixed point iteration starting with the value = 4.2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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3. The equation e" – 4x² = 0 has a root in the interval [4, 5], To find this root by fixed point iteration,
write this equation in a form x = f(x) for which fixed point iteration works. Give reasons why fixed point
iteration works for the form of the equation you selected, and then do one step of fixed point iteration
starting with the value r = 4.2.
Transcribed Image Text:3. The equation e" – 4x² = 0 has a root in the interval [4, 5], To find this root by fixed point iteration, write this equation in a form x = f(x) for which fixed point iteration works. Give reasons why fixed point iteration works for the form of the equation you selected, and then do one step of fixed point iteration starting with the value r = 4.2.
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