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Determine the positive real root of f(x) = (0.8 -0.3x)/x: 1) Analytically. 2) Graphically. Choose your own intervals 3) Using three iterations of the false-position method and initial guesses of 1 and 3. Compute the approximate error ea and the true error et after each iteration. Is there a problem with the result?

Determine the positive real root of f(x) = (0.8 -0.3x)/x: 1) Analytically. 2) Graphically. Choose your own intervals 3) Using three iterations of the false-position method and initial guesses of 1 and 3. Compute the approximate error ea and the true error et after each iteration. Is there a problem with the result?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please answer number 3 with the False Position Method, in details please. With pure formula please, no excel.

Determine the positive real root of f(x) = (0.8 0.3x)/x: - 1) Analytically. 2) Graphically. Choose your own intervals 3) Using three iterations of the false-position method and initial guesses of 1 and 3. Compute the approximate error ea and the true error et after each iteration. Is there a problem with the result?
Transcribed Image Text:Determine the positive real root of f(x) = (0.8 0.3x)/x: - 1) Analytically. 2) Graphically. Choose your own intervals 3) Using three iterations of the false-position method and initial guesses of 1 and 3. Compute the approximate error ea and the true error et after each iteration. Is there a problem with the result?
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