MathDB
Turkey NMO 2010 1st Round - P35 (Algebra)

Source:

July 27, 2012

Problem Statement

Which one below is not less than x3+y5x^3+y^5 for all reals x,yx,y such that 0<x<10<x<1 and 0<y<10<y<1?
<spanclass=latexbold>(A)</span> x2y<spanclass=latexbold>(B)</span> x2y2<spanclass=latexbold>(C)</span> x2y3<spanclass=latexbold>(D)</span> x3y<spanclass=latexbold>(E)</span> xy4 <span class='latex-bold'>(A)</span>\ x^2y \qquad<span class='latex-bold'>(B)</span>\ x^2y^2 \qquad<span class='latex-bold'>(C)</span>\ x^2y^3 \qquad<span class='latex-bold'>(D)</span>\ x^3y \qquad<span class='latex-bold'>(E)</span>\ xy^4