Please answer all parts

Problem $3$

The plane $\backslash (4$ x$-4$ y$+7$ z$=9\backslash )$ is covered with a surface charge density of $\backslash ($ G $\backslash$frac$\{$C$\}\{$m$^\{2\}\}\backslash )$ The space around the plane is filled with air

For this problem you need to clearly show your work

a$)(20$ points$)$ Find the electric field intensity E everywhere in the space. You have to clearly identify the sides of the plane and the field on each side.

b$)(20$ points$)$ You have two different E$\text{'}$s and D$\text{'}$s$,$ examine the boundary condition for E ad D using your answers in part a

c$)(10$ points$)$ How much work is associate with moving a charge from $(\backslash ($ x$=\backslash )\backslash (5,$ y$=3,$ z$=-3\backslash ))$ to the origin? You need to show your work, clearly