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6. This problem addresses Laplace's equation Vu = V . Vu = 0 and the functions that satisfy it, called harmonic functions. This is a

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6. This problem addresses Laplace's equation Vu = V . Vu = 0 and the functions that satisfy it, called harmonic functions. This is a very important equation in heat flow, fluid dynamics, and electrostatics! (a) (2 points) Show that

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