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5. Consider the integral / F . Nds, where F(x, y) = (4x3 - 5y, -x2 + 2y) and C' is the parallelogram with vertices

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5. Consider the integral / F . Nds, where F(x, y) = (4x3 - 5y, -x2 + 2y) and C' is the parallelogram with vertices (0, 1), (1, 0), (0, 3), and (1, 2), oriented counterclockwise. (a) (2 points) Sketch C (including arrows indicating orientation) and determine equations for the non-vertical (or non-horizontal) boundary line segments. (b) (3 points) Set up the integral obtained by applying Green's Theorem. (c) (3 points) Evaluate the integral you obtained in (b)

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