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 Jan17 awarded Editor Jan17 revised How to deduce the area of sphere in polar coordinates? deleted 2 characters in body; added 2 characters in body Jan17 answered How to deduce the area of sphere in polar coordinates? Jan17 comment How to deduce the area of sphere in polar coordinates? @hhh: Do know what a Jacobian is? You've probably encountered it while calculating the area element in polar coordinates. Jan16 comment For what n does $n^2 + 2010$ divide $n^3 + 2010$ @MrZeta: you're definitely right; I should have specified that I meant larger 'in absolute sense', $|f(n)|.$ Jan16 comment For what n does $n^2 + 2010$ divide $n^3 + 2010$ @MrZeta: I wasn't sure if you meant $\mathbb{N} = \{1, 2, 3, \cdots\}$ or $\mathbb{Z}$ (which is what you suggest, and what I call the set of integers). Exactly what point don't you understand? (By the way, I did cheat and change the sign of $k$ halfway through, sorry for that.) To me it seems easiest to try to find any integer solutions, otherwise you have to start worrying about signs. In the end you can discard any negative solutions. Jan16 awarded Teacher Jan16 answered For what n does $n^2 + 2010$ divide $n^3 + 2010$