Find two positive numbers \( x \) and \( y \) such that their sum i...

Find two positive numbers \( x \) and \( y \) such that their sum is 35 and the product \( x^{2} y^{5} \) is a maximum.
\[
\begin{array}{ll}
x+y=35 & P=x^{2} y^{5} \\
y=35-x & P=x^{2}(35-x)^{5}
\end{array}
\]
\( \frac{d P}{d x}=0 \Rightarrow \)
ysics Wallah