A particle starts at the origin, moves along the x-axis to (4, 0), then along the quarter-circle x² + y² = 16, x 20, y 20 to the point (0, 4), and then down the y-axis back to the origin. Use Green's theorem to find the work done on this particle by the following force field. 1) = (sin(x), sin(y) + xy² + x³) F(x, y)

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