1 Considerthe function f[:17,y,z) = defined on R3 \\ {(U,U,U)}. E$Z+y2+z2 0 Show that it satises the following partial differential equation: ('92 82 32 f+ f+ i=0 (9:32 Oyz 322 o How would you generalize this result to a function fn : R\" \\{(0, D, 0)} 4 R? Support your answer by giving an explicit formula for fn and the corresponding partial differential equation. For full marks, check that your function f:r1 satisfies your partial differential equation