Consider F and C below. F(x, y) = (4 + 4xy²)i + 4x²yj, C is the arc of the hyperbola y = 1/x from (1, 1) to %3D (2) (a) Find a function f such that F = Vf (Do NOT write the constant of integration) f(x, y) = (b) Use part (a) to evaluate F dr along the given curve C.

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