Consider F and C below. F(x, y, z) = yzex² i + eײj + xye×z k, C: r(t) = (t² + 5)i + (t². (a) Find a function f such that F = : Vf. f(x, y, z) = 1)j + (t² − 2t) k, 0≤t≤2 (b) Use part (a) to evaluate 6 F. dr along the given curve C.

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