Question

Compute ∫∫S F·dS for the vector field F(x,y,z) =〈0,0,x2+y2〉through the surface given by x^2+y^2+z^2= 4, z≥0...

Compute ∫∫S F·dS for the vector field F(x,y,z) =〈0,0,x2+y2〉through the surface given by x^2+y^2+z^2= 4, z≥0 with outward pointing normal.

Please explain and show work.

Thank you so much.

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