(Solved) Let S be the surface of the cylinder defined by x^2+y^2 ≤q 16,-1 ≤q z ≤q 2, including its two circular ends. Find the outward flux of


Question: Let \(S\) be the surface of the cylinder defined by \(x^{2}+y^{2} \leq 16,-1 \leq z \leq 2\), including its two circular ends. Find the outward flux of the field \(\vec{F}(x, y, z)=\left[\begin{array}{c}2 y z+4 x \\ x z+3 y \\ 2 x y-5 z\end{array}\right]\) through \(S\).

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