Question: (a) Find a function f such that F = f and (b) use part (a) to evaluate C F dr along the given

(a) Find a function f such that F = ∇f and (b) use part (a) to evaluate ∫C F • dr along the given curve C.

F(x, y, z) = yzexz i + exz j + xyexz k, C: r(t) = (t2 + 1) i + (t2 - 1) j + (t2 - 2t) k, 0 < t < 2

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