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Suppose the wind blows with a force field of F = (y −x^2)i + (z −y^2)j + (x −z^2)k. I travel
from the origin (0,0,0) to the point (1,1,1) along the curvy path r(t) = < t, t^2, t^3 > with 0 ≤ t ≤ 1.

Find the work done by the wind on me. Was the net effect of the wind helping me walk, or hindering my walk?

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