\Phi(x, y, z)=\frac{z x^{2}}{x^{2}+y^{2}+z^{2}} \text { (a) Calculate } \nabla^{2} \Phi \text { . } \text { (b) Express } \Phi \text { in spherical coordinates. } 1. Let a

scalar field O take the following form in cartesian coordinates: (d) Verify that your answers in (a) and (c) give the same answer. \text { (c) Calculate } \nabla^{2} \Phi \text { in spherical coordinates. }