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Consider the vector field F = {21: + By, 5.1: + 3y). '12} The vector field is not conservative ii? The vector field is conservative,

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Consider the vector field F = {21: + By, 5.1: + 3y). '12} The vector field is not conservative ii? The vector field is conservative, and the potential function such that f], [I] = 'U for F is flay) =| \\ If F is conservative, use x, 3:) to evaluate f F - d'Falong a piecewise smooth curve {C} from C {5,3} to {4,5}. 12*. a: 2" '| C

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