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Consider F and C below. F ( x, y , z) = yze*zi+ exzj + xyetak, C: r (t) = (t2 + 2) i +

Consider F and C below. F ( x, y , z) = yze*zi+ exzj + xyetak, C: r (t) = (t2 + 2) i + (+2 - 2) j + (t2 - At ) k, Ost = 4 (a) Find a function f such that F = Vf. f ( x , y, z) = (b) Use part (a) to evaluate F . dr along the given curve C. C

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