2. Bisection Method and False Position Determine the positive real root of ln(x²) = 0.7, (a) graphically, (b) using three iterations of the bisection method, with initial guesses of x = 0.5 and xu = 2, (c) using three iterations of the false-position method, with the same initial guesses as in (b). (d) compare the results of (b) and (c) and comment on your results.
2. Bisection Method and False Position Determine the positive real root of ln(x²) = 0.7, (a) graphically, (b) using three iterations of the bisection method, with initial guesses of x = 0.5 and xu = 2, (c) using three iterations of the false-position method, with the same initial guesses as in (b). (d) compare the results of (b) and (c) and comment on your results.
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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Transcribed Image Text:For all the following problems,
2.
a)
b)
You need to show at least 3 iterations calculated manually with all steps.
You do not need to include the M.files for the bisection method (bisect.m) and for false position (falspos.m). You
must, however, show the command lines for the given functions with their variables and other parameters.
Bisection Method and False Position
Determine the positive real root of In(x²) = 0.7,
(a) graphically,
(b) using three iterations of the bisection method, with initial guesses of x = 0.5 and xu = 2,
(c) using three iterations of the false-position method, with the same initial guesses as in (b).
(d) compare the results of (b) and (c) and comment on your results.
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