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John's behaviour at the party annoyed me. ( way)

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Cho \(\left\{{}\begin{matrix}a+b=9\\a,b>0\end{matrix}\right.\) Tìm Min

P = \(\frac{1}{a}+\frac{3}{b}\)

Cho x , y , z > 0 ; x+y+z =1

Tìm Min P= \(\frac{1}{x}+\frac{4}{y}+\frac{9}{z}\)

Cho \(\left\{{}\begin{matrix}0\le a,b,c\le2\\a+b+c=3\end{matrix}\right.\) Tìm Max P = \(a^2+b^2+c^2\)

Cho x>0,y>0 ; x+ y \(\le\)\(\frac{4}{3}\)

Tìm Min P = \(x+y+\frac{1}{x}+\frac{1}{y}\)