PLOTTING IN MATLAB For this challenge we will plot experimental and theoretical

Question

PLOTTING IN MATLAB For this challenge we will plot experimental and theoretical data on the same plot. Theoretical data (equation of a line) is true for any point so it should be plotted as a line, whereas experimental data is only true for a given point so it should be represented as a point. Use help to determine how to create a solid line: Use help to determine how to create points: a.) Write a program called plotPractice.m that creates a plot of the function y-cos(2Tx/L) over the range of 0 to 6 with 100 values. Use L=5 for the plot you turn in today. Include labels for the axes and a title b.) Then, plot the experimental data on the same axis with the function from part a) for the following x values: xexp [ 1, 2, 3, 4, 5] Use a single plot command for all trials. connecting line because it is experimental data. Hint: It's important to distinguish the 3 trials in your plot from one another in some way. Data from part b) should be added as points without any Trial! Trial2 Tria!3 = = = [0.38, [0.36, [0.22, -0.82,-0.79, 0.28, 0.93); -0.8, -0.88, 0.45, 1.1); -0.67, -0.94, 0.27, 0.98); Include all labels, axes, titles, and legends necessary. Make sure all markers are distinguishable by changing style of marker and color.

Explanation / Answer

solid line can be created using - style specifier

points can be created using . marker specifier

a)

plotPractice.m:

xlabel('x = 0:6')

ylabel('Cosine')

title('Plot of the Cosine Function','FontSize',12)

% create 100 linearly spaced values between 0 to 6

x = linspace(0,6,100);

y = cos(2*pi*x/5);

plot(x,y,'-r') % - is added to plot a solid line

b)

xlabel('X')

ylabel('Cosine')

title('Plot of the Cosine Function','FontSize',12)

Plot experimental daata on the same axis with following x values: xexp=[1,2,3,4,5] use below statement:

x = linspace(1,5,5);

y = cos(2*pi*x/5);

plot(x,y,'.') % . is added to plot as points without aby connecting lines

Trial1 = xticks([0.38 -0.82 -0.79 0.28 0.93])

y = cos(2*pi*Trial1/5);

plot(Trial1,y,'--b*')

Trial2 = xticks([0.36 -0.8 -0.88 0.45 1.1])

y = cos(2*pi*Trial2/5);

plot(Trial2,y,':g^')

Trial3 = xticks([0.22 -0.67 -0.94 0.27 0.98])

y = cos(2*pi*Trial3/5);

plot(Trial3,y,'-.m+')

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