Using Equations $(7)$ and $(8),$ code Newton$$s methods for nonlinear systems. Test your program by solving one or more of the following systems: a$.$ System in Computer Problem $3\mathrm{.}2\mathrm{.}21.$ b$.$ System in Computer Problem $3\mathrm{.}2\mathrm{.}22.$ c$.$ System $(3)$ using starting values $(0,0,0).$ d$.$ Using starting values $34,12,12,$ solve