Reading The Text File Data Into Matlab And Plotting Assignment

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Reading the text file data into MATLAB and plotting assignment help

Challenge:  Read the text file data into MATLAB and plot the bacteria formation rate (dN/dt) and label your plot appropriately.

Matlab code is given below

% read and plots the data

clc;

clear;

readplot('experimental_dNdt.txt',6,2);

Perform a curve fit of the data

% curbe fitting to different segments and display on screen

clc;

clear;

[data x y] = readplot('experimental_dNdt.txt',6,2);

datap1 = data(1:125,:);

datap2 = data(126:225,:);

datap3 = data(226:end,:);

p1 = polyfit(datap1(:,1),datap1(:,2),3);

p2 = polyfit(datap2(:,1),datap2(:,2),3);

p3 = polyfit(datap3(:,1),datap3(:,2),3);

f1 = polyval(p1,1:125);

f2 = polyval(p2,126:225);

f3 = polyval(p3,226:477);

f = [f1 f2 f3];

plot(x,y,'r-',x,f,'b-');

display('Coefficient of Fit Curves');

display(p1);

display(p2);

display(p3);

Applicaton of Newton-Raphson method for finding maxim and minima using Matlan

Use the Newton-Raphson method to identify the time at which the number of bacteria (N) passes through a maximum.

% To find point the point at which N reaches a maximum, we have to find a

% point where the its derivative is zero. We can see from the curve that it

% reaches zero at only one point and that point is what we need to find

% using newton-raphson method.

clc;

clear;

[data x y] = readplot('experimental_dNdt.txt',6,2);

datap1 = data(1:125,:);

datap2 = data(126:225,:);

datap3 = data(226:end,:);

p1 = polyfit(datap1(:,1),datap1(:,2),3);

p2 = polyfit(datap2(:,1),datap2(:,2),3);

p3 = polyfit(datap3(:,1),datap3(:,2),3);

% now try to find the zero of the approximated polynomials using

% newton-raphson and display them . All real and imaginary roots are

% displayed

r1 = newtonraph(p1);

display('Point of max value of bacteria is time:')

for i = 1:length(r1)

if r1(i)>=1 && r1(i)<= 125

display((r1(i)));

end

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r3 = newtonraph(p3);

for i = 1:length(r3)

if r3(i)>=226 && r3(i)<= 477

display((r3(i)));

end

end

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