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The particle is moving according to a sinusoid with an amplitude of 32, a period proportional to x, and a vertical shift proportional to 1.2*t. It is not possible to guess without the image.
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So many choices
Make a random, non-repeating vector.
Area of a triangle
Output a vector which is table of 9
Replace every 3rd element in a vector with 4
Matlab Basics - y as a function of x
Matlab Basics - Set unwanted parts of a vector to zero
Matlab Basics II - squares
Matlab Basics II - Log and natural log
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