Question: Let f(x, y) be a second differentiable function. We define Af = which is called the Laplacian in 2 dimension. When we consider the

Let f(x, y) be a second differentiable function. We define Af =

Let f(x, y) be a second differentiable function. We define Af = which is called the Laplacian in 2 dimension. When we consider the Laplacian in polar coordinate, answer the following questions. (1) Express af and af 1 af 1 a2 f (2) Show that Af = Or2 r dr p2 302

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