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7. (10 Pts) Demonstrate that the force field ] =<e cos(x), -e-Ysin(x) > is conservative. Then find a scalar potential function, 4(x,y), for Ē. Finally, use p(x,y) to find the work done by the field on a particle that moves counterclockwise from (5,0) to (-5.0) along a semicircular path, C.