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Trigonometry / Integer sequences / Pi / Proof that π is irrational / Homotopy groups of spheres / Mathematics / Mathematical analysis / Combinatorics


The 67th William Lowell Putnam Mathematical Competition Saturday, December 2, 2006 A1 Find the volume of the region of points (x, y, z) such that (x2 + y 2 + z 2 + 8)2 ≤ 36(x2 + y 2 ).
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Document Date: 2007-03-23 15:14:42


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