Calculate the flux integral F.Nds, where the vector field F is given by F(x,y,z) = xzi +yzj + 2xk, where S is the upper hemisphere defined by x² + y² + z² = 4,z ≥ 0, and the unit normal Ñ has a positive k-component.

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Q: 4. Show that if a²p 1 a² - 1 where a > 1 is an integer and p is an odd prime with pła(a²-1), n then…

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