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Let F(x, y, z) = (yz, xz, xy) and the path c(t) = (cos3 t,sin3 t,...

Let F(x, y, z) = (yz, xz, xy) and the path c(t) = (cos3 t,sin3 t, 0) for 0 ≤ t ≤ 2π. Evaluate R c F · ds. Hint: Identify f such that ∇f = F.

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