Which of the following statements is correct (where F is a continuously differentiable vector field defined everywhere)?

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Which of the following statements is correct (where F is a continuously differentiable vector field defined everywhere)?
(a) The flux of curl(F) through all surfaces is zero.
(b) If F = ∇ϕ, then the flux of F through all surfaces is zero.
(c) The flux of curl(F) through all closed surfaces is zero?
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