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) = xy2i + x2yj, C: r(t) = 〈t + sin1/2πt, t + cos1/2πt〉, 0 ≤ t ≤ 1

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