Long description: NEWDIAGRAM

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A diagram illustrating a curved surface, labeled \(S\), with an adjacent boundary curve, labeled \(C\), suitable for Stokes' theorem.

Alt text: A diagram illustrating a curved surface, labeled \(S\), with an adjacent boundary curve, labeled \(C\), suitable for Stokes' theorem.

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  • The image displays a two-dimensional, curved surface segment, labeled \(S\).
  • The boundary of this surface segment is indicated by a dashed, horizontal line, labeled \(C\).
  • An arrow is drawn perpendicular to the surface and points upward and to the left, labeled \(d\textbf{S}\), indicating the differential surface area vector element.

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