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Multivariable & Vectorhard
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A particle moves in the vector field F=⟨y,−x,z⟩\mathbf{F} = \langle y, -x, z \rangleF=⟨y,−x,z⟩. Calculate the flux of F\mathbf{F}F through the unit sphere x2+y2+z2=1x^2 + y^2 + z^2 = 1x2+y2+z2=1.