Practice problem 10 Consider F and C below. F(x, y, z) = yzeײ i + ex²j + xyexzk, C: r(t) = (t² + 3)i + (t² − 1)j + (t² – 2t) k, 0≤ t ≤2 (a) Find a function f such that F = Vf. f(x, y, z) = (b) Use part (a) to evaluate Ic F. dr along the given curve C.

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