(a) Find first an adequate interval [a, b] so that the function f (x) = e-2-x has opposite signs at its endpoints; (b) Use the bisection method to find a zero of the above function and list the values in your first three evaluation loops. (c) How many iterations are required based on your initial interval set if the approximate solution has an error less than 8=10²?

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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 Calculating the results with the appropriate method

2).
(a) Find first an adequate interval [a, b] so that the function f (x) = e*–2–x has
opposite signs at its endpoints;
(b) Use the bisection method to find a zero of the above function and list the values
in your first three evaluation loops.
(c) How many iterations are required based on your initial interval set if the
approximate solution has an error less than 8=102?
Transcribed Image Text:2). (a) Find first an adequate interval [a, b] so that the function f (x) = e*–2–x has opposite signs at its endpoints; (b) Use the bisection method to find a zero of the above function and list the values in your first three evaluation loops. (c) How many iterations are required based on your initial interval set if the approximate solution has an error less than 8=102?
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