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Multivariable & Vectorhard
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Determine the outward flux of the vector field F=⟨x+sin⁡(yz),y+exz,z2⟩\mathbf{F} = \langle x + \sin(yz), y + e^{xz}, z^2 \rangleF=⟨x+sin(yz),y+exz,z2⟩ through the upper boundary surface SSS of the paraboloid z=4−x2−y2z = 4 - x^2 - y^2z=4−x2−y2 that lies above the plane z=0z = 0z=0.