Consider the force field F (x, y) = (xy + 2y^2)i + (3x^2 + y)j Find the work done by F to move a particle from (0, 0) to (1, 1) along (a) y = x^2 (b) the y-axis to (0, 1) and then along the line y = 1 (c) path (b) and then returns to the origin along path (a).

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Consider the force field F (x, y) = (xy + 2y^2)i + (3x^2 + y)j Find the work done by F to move a particle from (0, 0) to (1, 1) along (a) y = x^2 (b) the y-axis to (0, 1) and then along the line y = 1 (c) path (b) and then returns to the origin along path (a).

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