A major part of calculus includes finding the area under a curve. Before he or she learns about integration, a calculus student learns about approximating area under curves by means of a method called Riemann sum. To find more about Riemann sums, visit Khan Academy or Paul's Online Notes.
I noticed, while previously crocheting, that each row resembled a rectangle that could be placed underneath a curve to approximate the area. If I were to crochet enough rectangles, I would have a Riemann sum approximation of the area under a curve.
I chose two random functions, f(x) and g(x), and drew them on a piece of paper. As far as I know, these are functions that I just drew on paper and cannot be resembled by any equation.
f(x) and g(x) |
Model of the area between f(x) and g(x) |
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