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Multivariable & Vectorhard
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Evaluate ∫CF⋅dr\int_C \mathbf{F} \cdot d\mathbf{r}∫C​F⋅dr for F=⟨y,−x,z⟩\mathbf{F} = \langle y, -x, z \rangleF=⟨y,−x,z⟩ where CCC is the straight line from (0,0,0)(0,0,0)(0,0,0) to (1,1,1)(1,1,1)(1,1,1).