The flux of \(\vec{F}=y \hat{\imath}-x \hat{\jmath}+z^2 \hat{k}\) along outward normal, across the surface of the solid {(x,y,z) ∈ R|0 ≤ x ≤ 1, 0 ≤ y ≤ 1, 0 ≤ z ≤ \(\sqrt{2-x^2-y^2}\)​} is equal to

1
2/3
2
5/3
3
8/3
4
4/3

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