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Q10. (10 Points) Please show that f = (Ar + Br-2) sin 0 cos p is a solution to 3D Laplace Equation in spherical coordinates,

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Q10. (10 Points) Please show that f = (Ar + Br-2) sin 0 cos p is a solution to 3D Laplace Equation in spherical coordinates, where A and B are constants. Hint: Laplacian in spherical coordinates is given in Q5.1 32 Hint 1: V2 = =zar ar + 72 sin 0 20 sin 0- + - 12 sin2 0 ad2 Hint 2: x = r sin 0 coso, y = r sin 0 sin , z = r cos 0

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