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Weekly Challenge 43: A Close Match

Can you massage the parameters of these curves to make them match as closely as possible?

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Weekly Challenge 44: Prime Counter

A weekly challenge concerning prime numbers.

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Weekly Challenge 46: the Jabber-notty

Can you invert this confusing sentence from Lewis Carrol?

Weekly Challenge 28: the Right Volume

Stage: 5 Short Challenge Level: Challenge Level:1

Curves such as $y=x, y=x^{3/2}, y=x^{5.4}$ pass through the required points. Can you think of a more general curve to try to revolve?