Consider F and C below. F(x, y, z) = yzexzi + exzj + xyexzk, C: r(t) = (t2 + 1)i + (t2 − 1)j + (t2 − 2t)k,    0 ≤ t ≤ 2 (a) Find a function f such that F = ∇f. f(x, y, z) =         (b) Use part (a) to evaluate

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