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Question

Find the Laplacian of the following scalar functions: (a) $V=4 x y^{2} z^{3}$ (b) $V=x y+y z+z x$ (c) $V=3 /\left(x^{2}+y^{2}\right)$ (d) $V=5 e^{-r} \cos \phi$ (e) $V=10 e^{-R} \sin \theta$

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