1) Calculate one root of f(x) = -2.75x³ + 18x² - 21x - 12 a) Use a graphical technique in MATLAB. b) Please do your calculations by hand to determine a root x using the bisection method. Use an initial interval from-1 to 0. Perform the computation until the absolute relative error percentage is less than 1%. c) Please do your calculations by hand to determine a root x using the false position method. Use an initial interval from 1 to 0. Perform the computation until the absolute relative error percentage is less than 1%.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1) Calculate one root of f(x) = -2.75x³ + 18x² - 21x - 12
a) Use a graphical technique in MATLAB.
b) Please do your calculations by hand to determine a root x using the bisection method. Use an
initial interval from-1 to 0. Perform the computation until the absolute relative error percentage
is less than 1%.
c) Please do your calculations by hand to determine a root x using the false position method. Use
an initial interval from 1 to 0. Perform the computation until the absolute relative error
percentage is less than 1%.
Transcribed Image Text:1) Calculate one root of f(x) = -2.75x³ + 18x² - 21x - 12 a) Use a graphical technique in MATLAB. b) Please do your calculations by hand to determine a root x using the bisection method. Use an initial interval from-1 to 0. Perform the computation until the absolute relative error percentage is less than 1%. c) Please do your calculations by hand to determine a root x using the false position method. Use an initial interval from 1 to 0. Perform the computation until the absolute relative error percentage is less than 1%.
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