Question: Here are two cute checks of the fundamental theorems: (a) Combine Corollary 2 to the gradient theorem with Stokes' theorem (v = T, in this

Here are two cute checks of the fundamental theorems:

(a) Combine Corollary 2 to the gradient theorem with Stokes' theorem (v = ∆T, in this case). Show that the result is consistent with what you already knew about second derivatives.

(b) Combine Corollary 2 to Stokes' theorem with the divergence theorem. Show that the result is consistent with what you already knew.

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