Let (mathbf{F}=leftlangle-x^{2} y, x, 0ightangle). Referring to Figure 19 , let (C) be the closed path (A
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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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Stokes theorem connects a surface integral over a vector field to a line integral over the boundary of the surface Specifically it states that int intS abla times mathbfF cdot dmathbfS ointC mathbfF c...View the full answer
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