Use MATLAB to plot the functions u = 2 log10(60x + 1) and υ = 3 cos(6x) over the interval 0 ≤ x ≤ 2.

Use MATLAB to plot the functions u = 2 log10(60x + 1) and υ = 3 cos(6x) over the interval 0 ≤ x ≤ 2. Properly label the plot and each curve. The variables u and represent speed in miles per hour; the variable x represents distance in miles.

Solutions

Expert Solution

Write the functions,

u = 2log10(60x + 1)

v = 3cos(6x)

The domain of the functions is 0 ≤ x ≤ 2.

Two-dimensional line plots can be created using the ‘’plot function’’.

Firstly define displacement (x) as a vector, next define the function u and then plot the given function by using plot ().

Use hold command to add another plot u to an existing figure.

Input the following into Matlab:

>> x=0:0.01:2;

u=2^log10(60*x+1);

plot(x,u)

hold on

v=3*cos(6*x);

plot(x,v,’r:’)

ylabel(‘Speed(mi/hr)’), xlabel(‘Distance x (mi)’)

legend(‘u’,’v’)

Note: 'r:' string is used for red dotted line.

The output of the plots is as shown below:

Write the functions,

u = 2log10(60x + 1)

v = 3cos(6x)

The domain of the functions is 0 ≤ x ≤ 2.

Junaid answered 2 years ago

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