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Friday, December 21, 2007
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1. p(x) is a quadratic polynomial with non-negative coefficients. Show that p(xy)2 ≤ p(x2)p(y2). 2. A convex polygo...
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A1. Prove that (21n+4)/(14n+3) is irreducible for every natural number n. A2. For what real values of x is √(x + √(2x-1)) ...
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1. Show that x4 > x - 1/2 for all real x. 2. The line joining the midpoints of two opposite sides of a convex quadril...