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Let F(x, y,) ((1+xy)eyi+xej be given. = (a) Determine whether if F is conservative vector field or not. If it is conservative find the

Let F(x, y,) ((1+xy)eyi+xej be given. = (a) Determine whether if F is conservative vector field or not. If it is conservative find the potential function. (b) Use part (b) to evaluate the given integral along the curve C= r(t) = cost i + 2 sint j, 0 t 2

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