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A particle is launched from the origin in R^3 with initial velocity v(0) = < 0, 8, 10 > and undergoes constant acceleration a = < 2, - 1, - 5 > due to the combined forces of gravity and wind.

If the force of the wind on the particle is given by the:

vector field F(x, y, z) = 4i - 2j

Find the total work is done by the wind on the particle over the course of its trajectory.

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