Question: Q2. Consider the function f(r, y, z) - defined on R3 { (0, 0,0) }. Vaz + y2 + 22 (a) Show that it

 Q2. Consider the function f(r, y, z) - defined on R3

Q2. Consider the function f(r, y, z) - defined on R3 \\ { (0, 0,0) }. Vaz + y2 + 22 (a) Show that it satisfies the following partial differential equation: 0 (b) How would you generalize this result to a function In : R"\\ { (0, 0,0)} - R? Support your answer by giving an explicit formula for f, and the corresponding partial differential equa- tion. For full marks, check that your function In satisfies your partial differential equation

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