Consider F and C below. F(x, y, z) = yzex² i + exZj + xyexz k, C: r(t) = (t² + 2)i + (t² − 2)j + (t² − 3t)k, 0≤t≤ 3 (a) Find a function f such that F = Vf. f(x, y, z) = (b) Use part (a) to evaluate J F. dr along the given curve C.

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A: Using green's theorem.

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A: Step 1: Step 2: Step 3: Step 4:

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