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7. (10 Pts) Demonstrate that the force field F = is conservative. Then find the scalar potential function, 4 (x, y) , for F. Finally,

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7. (10 Pts) Demonstrate that the force field F = is conservative. Then find the scalar potential function, 4 (x, y) , for F. Finally, use 4(x, y) to find the work done by the field on a particle that moves counterclockwise from (, 0 ) to (-7,0) along a semicircular path, C

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