Question

MATLAB Problem

HW7P2 (20 points) (5 pts) Write a user-defined MATLAB function called HW7P2_fn for the following math function 3 o-0.47x The input to the function is x and the output is y. Write the function such that x can be an array (use element-by-element operations) (15 pts) Use the function in (a) the command window to calculate y(-2) and y(5) (b) a script file HW7P2.m to determine y(x) for 0.001 Sx S 10 with 1000 points. Hint: Use the linspace function to create the x vector (c) In the same script file HW7P2.m, plot the function v(x) 4 times in 2 by 2 subplots using the following 1. 2. 3. 4. Linear scale for both the x and y axes Linear scale for the x axis and logarithmic scale for the y axis Linear scale for the y axis and logarithmic scale for the x axis Logarithmic scale for both the x and y axes Use the axis () function to adjust the limits of the x axis from the minimum value of x to the maximum value of x and the same for the y axis. You can use the functions min () andmax () in MATLAB after reading their help sections

Answer 1

Matlab code for the user defined function

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function y=HW7P2_fn(x)
y=0.6*(x.^3).*exp(-0.47*x)+1.5*(x.^2).*exp(-0.6*x); % calculate values for y
end

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Matlab code for the script:

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x=linspace(0.001,10,1000); % generate x
y=HW7P2_fn(x); % call user function to calculate y
subplot(2,2,1) % add first plot in 2 x 2 grid
plot(x,y)
axis([min(x) max(x) min(y) max(y)]) % setting axes
subplot(2,2,2) % add second plot in 2 x 2 grid
semilogx(x,y)
axis([min(x) max(x) min(y) max(y)])
subplot(2,2,3)% add third plot in 2 x 2 grid
semilogy(x,y)
axis([min(x) max(x) min(y) max(y)])
subplot(2,2,4)% add fourth plot in 2 x 2 grid
loglog(x,y)
axis([min(x) max(x) min(y) max(y)])

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Output:

迥ム, G. Program Files·MATI AB-R2017 )反Editor-G:\Program Files\MATLAB\R2017a\HW7P2.m Command Window >HW7P2fn (-2) x-linspace (o.001,10,1000) generate x y-HH7P2_fn (x); call user function to calculate y alis = 2Y-HW 3- subplot {2, 2,1) add first plot in 2 x 2 grid 4plot (x,y) 5- axis (Imin (x) max(x) min(y) max (y))) % setting axe 7.6328 subplot (2,2,2) add second plot in 2x 2 grid semi logx(x, y) 8- axis ([min (x) max(x) min (y》 max (y) 1) 9- subplot {2,2,3}% add third plot in 2 x 2 grid 10-milogy (x,y) 9.0197 axia([min(x) max (x) min (y max (y)]) subplot (2,2,4) add fourth plot in 2 x 2 grid HN7P2 -12 13-loglog (x, y) Figures-Figure1 14 dxǐs([min (x) nax(x) min {y) max (y))) Figure 1 X 15 10 10 10 10 10 10 10 10