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TR-MO-R1 2010 Problem 35

    Aşağıdaki ifadelerden hangisi, 0<x<10 < x < 1 ve 0<y<10 < y < 1 koşullarını sağlayan tüm x,yx, y gerçel sayıları için x3+y5x^3 + y^5 ten küçük değildir?

    a) x2yx^2y b) x2y2x^2y^2 c) x2y3x^2y^3 d) x3yx^3y e) xy4xy^4

    Official text Turkish Mathematical Olympiad, first round 2010 official paper, page 10. Quoted with source.

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