2. a) Verify that F(x, y, z) = y³i + 3xy²j is a conservative vector field. b) Find a function f such that F = Vf. c) Use your answer to part (b) and the Fundamental Theorem for Line Integrals to evaluate the line integral f, F. dr, where C is the portion of the parabola y = x² from the point (0,0) to the point (2,4).

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