[Solution Library] Find the flow rate of water with velocity field v(x, y, z)=< 2 x, y, x y> meters per second across the part of the cylinder x^2+y^2=9 with x,
Question: Find the flow rate of water with velocity field \(\vec{v}(x, y, z)=\langle 2 x, y, x y\rangle\) meters per second across the part of the cylinder \(x^{2}+y^{2}=9\) with \(x, y \geq 0\), and \(0 \leq z \leq 4\) ( $x, y, z$ measured in meters).
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