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matlab/document.xml
matlab/output.xml
metadata/coreProperties.xml
metadata/mwcoreProperties.xml
metadata/mwcorePropertiesExtension.xml
metadata/mwcorePropertiesReleaseInfo.xml
MATLAB Root Finding Methods In this livescript, you will learn how to Plot graph of a function Use the inbuilt MATLAB \texttt{roots()} function to find roots of a polynomial function Use the inbuilt MATLAB \texttt{fzero()} function to find roots of a general function Suppose you would like to find the roots of the polynomial f(x)=\frac{50}{x}\left(1-e^{-9x/5}\right) Let’s plot f(x) for $0 \leq x \leq 10$ to see how the function looks like and see approximately where the roots are x=linspace(0,10,100);
fx=(50./x).*(1-exp(-9*x/5))-10;
plot(x,fx);
xlabel(‘x’);
ylabel(‘f(x)’);
%Plot a horizontal line at y=0 so that we can better see where the root is
y=0;
line([0,10],[y,y]) Use \texttt{fzero} roots of Eq. (5) that is in between -1\leq x\leq0 f=@(x) (50./x).*(1-exp(-9*x/5))-10
fzero(f,5)
manual code ready 0.4 figure 2961c775-9681-410c-a0fc-73dacb2c891c 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 560 420 2 3 4 6 2 3 4 5 9 variableString f @(x)(50./x).*(1-exp(-9*x/5))-10
false false function_handle with value: 1 1 10 variable ans 4.9994 1 1 11 true false 0 10 10 false false 1 11 11 false false 2 12 12 0 false false 3 13 13 0 false false 4 14 14 0 false false 5 17 17 false true 6 18 18 0 true false 7 23 23 1 false true 8 24 24 2 true false 9 26 26 false true 10 26 26
2021-02-25T00:13:29Z 2021-02-25T00:17:57Z
application/vnd.mathworks.matlab.code MATLAB Code R2020b
9.9.0.1444674 99d660cc-a3e8-46f7-b281-4c60925ea42a
9.9.0.1538559
R2020b
Update 3
Nov 23 2020
869446053