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

(a) Find a function f such that F = ∇f and (b) use part (a) to evaluate ∫C F • dr along the given curve C.

F(x, y, z) = (y2z + 2xz2) i + 2xyz j + (xy2 + 2x2z) k, C: x = √t , y = t + 1, z = t2, 0 < t < 1

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