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Questions (111)

 15 $\square\square\times\square =\square\square\square =\square\times\square\square\,\,\,$ fill blanks with distinct numbers from$\{1,2,3,4,5,6,7,8,9\}$ 10 Inequality $\frac{1-3ab}{1-2ac}+\frac{1-3bc}{1-2ba}+\frac{1-3ca}{1-2cb}\geq 0$ 8 Find all real to real function satisfy this functional equation.! $f((x+y)/(x-y))=[f(x)+f(y)]/[f(x)-f(y)]$ 7 If $a^3 + b^3 +3ab = 1$, find $a+b$ 6 Integrate $\int \sqrt{(\sec{x} +\tan{x})}\ \cdot \sec^2x\,dx$

Reputation (1,136)

 +5 Find the possible values of |A + B + C | +5 $\sin(2\pi/7) + \sin(4\pi/7) + \sin(8\pi/7) = (root7)/2$ -4 Find the last three digits of $17^{256}$ +5 The maximum value of expression $\sqrt{\sin^2x+ 2a^2} - \sqrt{-1 -\cos^2x+ 2a^2}$

 2 Optimizing $x^2+y^2$ from two given equations? 1 What is the smallest value of $x^2+y^2$ when $x+y=6$?

Tags (45)

 3 algebra-precalculus × 8 0 trigonometry × 11 2 contest-math × 13 0 geometry × 11 2 optimization 0 inequality × 10 0 combinatorics × 16 0 analytic-geometry × 10 0 quadratics × 16 0 permutations × 9

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