Question: Consider a particle that moves through the force field F(x, y) = (y - x)i + xyj from the point (0, 0) to the point

Consider a particle that moves through the force field F(x, y) = (y - x)i + xyj from the point (0, 0) to the point (0, 1) along the curve x = kt(1 - t), y = t. Find the value of k such that the work done by the force field is 1.

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