Given the force field F, find the work required to move an object on the given oriented curve. F = (y, -x) on the path consisting of the line segment from (1,3) to (0,0) followed by the line segment from (0,0) to (0,5) The amount of work required is (Simplify your answer.)
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This gives us the integral from 0 to 1 of (3 - 3t)(1) + (t - 1)(-1) dt. Simplifying this, we get the integral from 0 to 1 of 3 - 3t - t + 1 dt. This further simplifies to the integral from 0 to 1 of 4 - 4t dt. Integrating this, we get [4t - 2t^2] evaluated from 0 Show more…
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