Question:** An environmental scientist models soil compaction using the vector field \( \vec{F}(x, y) = \langle -y, x \rangle \), representing rotational stress. Find the work done by this field along the circular path \( \vec{r}(t) = \langle 3\cos t, 3\sin t \rangle \) for \( t \in [0, 2\pi] \).

Fri, 17 Apr 2026 05:20:05 +0000

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