Let S be the boundary surface of a regionW in R3, and let Dn denote the directional
Chapter 17, Problem 37(choose chapter or problem)
Let S be the boundary surface of a regionW in R3, and let Dn denote the directional derivative of , where n is the outward unit normal vector. Let be the Laplace operator defined earlier. (a) Use the Divergence Theorem to prove that S DndS = W dV (b) Show that if is a harmonic function (defined in Exercise 35), then S DndS = 0 38. As
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