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

(a) Find a function f such that F = ∇f

(b) Use part (a) to evaluate ∫C F • dr along the given curve C.

F(x, y, z) = (2xz + y2)i + 2xyj + (x2 + 3z2) k, C: x = t2, y = t + 1, z = 2t – 1, 0 ≤ t ≤ 1

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