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Consider F and C below. F(x, y, Z) = yzi + xzj + (xy + 12z) k C is the line segment from (1, 0,

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Consider F and C below. F(x, y, Z) = yzi + xzj + (xy + 12z) k C is the line segment from (1, 0, -3) to (5, 6, 2) (a) Find a function f such that F = Vf. f ( x, y, z ) = (b) Use part (a) to evaluate Vf . dr along the given curve C. Jc

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