Question: Let (mathbf{F}=leftlangle-x^{2} y, x, 0ightangle). Referring to Figure 19 , let (C) be the closed path (A B C D). Use Stokes' Theorem to evaluate

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.

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

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

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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 full answer

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