Confirm that the force field F is conservative in some open connected region containing the points P
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Question:
Confirm that the force field F is conservative in some open connected region containing the points P and Q, and then find the work done by the force field on a particle moving along an arbitrary smooth curve in the region from P to Q.
1. F (x, y) = xy 2 i + x 2 y j ; P(1, 1), Q (0,0)
2. F (x, y) = 2xy 3 i + 3x 2 y 2 j ; P(-3, 0), Q (4,1)
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