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Multivariable & Vectorhard
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Evaluate the flux of the vector field F=⟨x,y,z2⟩\mathbf{F} = \langle x, y, z^2 \rangleF=⟨x,y,z2⟩ through the unit sphere x2+y2+z2=1x^2 + y^2 + z^2 = 1x2+y2+z2=1 oriented outwards.