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Sketch the central field F = (x /(x2 + y2)1/2)i + (y /(x2 + y2)1/2) j...

Sketch the central field F = (x /(x2 + y2)1/2)i + (y /(x2 + y2)1/2) j and the curve C consisting of the parabola y = 2 − x2 from (−1, 1) to (1, 1) to determine whether you expect the work done by F on a particle moving along C to be positive, null, or negative. Then compute the line integral corresponding to the work.

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