New advanced problems - competition A
(302-304.)
A. 302. Given the unit square ABCD and the point P on the plane, prove that
A. 303. x, y are non-negative numbers, and x3+y4 x2+y3. Prove that
x3+y32.
A. 304. Find all functions R+ R+, such that
f(x+y)+f(x).f(y)=f(xy)+f(x)+f(y)?
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