random values and plot

evaluate (x.^3 + x.^(1/4)) .* exp(-2*x) for x = -6:0.2:3
a) Add random variables to each evaluated values.
b) Plot the results against the distribution of x.
HOW I write a and b question ?

5 Comments

I assume you have to do this homework assignment on MATLAB.
What exactly does "random variables" mean?
it will be values
yes it will be done in matlab
I see that having gotten an answer to your first question where you made no attempt at all to solve it, now you have posted two new questions, those questions just directly copied from your homework assignment, no effort made at all. I closed them, and will close any future question of that form from you.
@John D'Errico, I don't remember this thread fully, however, given the first sentence of my answer, I feel like there should have been a comment from OP showcasing their attempt writing the code for their problem.
That response might have been deleted afterwards.

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Answers (1)

In the code you have written, you are over-writing result in each iteration.
Preallocate the variable and use the loop index to save the value produced in each iteration.
x = -6:0.2:3;
n = numel(x);
%Preallocation
result = zeros(size(x));
for k = 1:n
result(k) = (x(k).^3 + x(k).^(1/4)) .* exp(-2*x(k));
end
random_values = randn(1, n);
results_with_random_values = result + random_values;
%plot
plot(x, results_with_random_values)
Warning: Imaginary parts of complex X and/or Y arguments ignored.
Another method is to obtain result is via Vectorization -
x = -6:0.2:3;
result = (x.^3 + x.^(1/4)) .* exp(-2*x);
random_values = randn(1, numel(result));
results_with_random_values = result + random_values;
%plot
plot(x, results_with_random_values)
Warning: Imaginary parts of complex X and/or Y arguments ignored.

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Asked:

on 28 Oct 2023

Commented:

on 25 Nov 2023

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