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Here are some examples that commonly appear in engineering.

Cubic function: The volume of similar objects (for example two cubes, two spheres, two cylinders with the same length-to-diameter ratio, etc.) is proportional to the cube of their diameter. For example, if you increase the diameter of a sphere by a factor "x", then its volume will increase by a factor "x cubed".

Reciprocal: There are many situations where one variable is inversely proportional to another - if one increases, the other decreases - the second variable is equal to some constant, times the reciprocal function. For example, this is the case with the relationship between pressure and volume in the ideal gas law - as well as the relationship between some other variables in the ideal gas law.

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Q: Where can you find a cubic and reciprocal function in real life?
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