Consider the vector field F=(y−x 2
y)i+(x 2
−y 2
)j 1. Compute divF. 2. Compute curF. 3. Consider the curve C that traces out the rectangle in the xy-plane with vertices (0,0), (−2,0),(−2,−3), and (0,−3) in that order (counter-clockwise). Use Green's Theorem to compute ∫ C
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F⋅dr 4. For the same curve C described above, use Plane Divergence Theorem (a variation of Green's Theorem) to compute the flux integral ∫ C
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F⋅nds