Discussion
Consider the following statements about the integral theorems. 1. Stokes's theorem allows any surface spanning the curve 2. The divergence theorem needs the surface to be closed 3. Green's theorem is a special case of Stokes's theorem
Answer: C
All three hold. The freedom of surface follows from the curl being solenoidal. Closedness is essential to the divergence theorem, since an open surface bounds no volume. And Green's theorem is Stokes's theorem applied to a plane field, the curl then having only a component perpendicular to the plane
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