Let \(\mathbf{F}=\left\langle-x^{2} y, x, 0ightangle\). Referring to Figure 19 , let \(C\) be the closed path \(A B C D\). Use Stokes' Theorem to evaluate \(\int_{C} \mathbf{F} \cdot d \mathbf{r}\) in two ways. First, regard \(C\) as the boundary of the rectangle with vertices \(A, B, C\), and \(D\). Then treat \(C\) as the boundary of the wedge-shaped box with an open top.

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A = (6, 0, 4) F=(6, 0, 0); 6 z D=(0, 0, 4) B= (6, 3,0) C=(0, 3, 0)