Match each situation that can be solved analytically using Gauss's Law to the correct gaussian surface shape choice. Some situations cannot be solved analytically. Leave those ones out. $($Do not put them in a category.$)$

Could use a gaussian surface that is a cylinder with reflection symmetry in the yz plane and its axis along the $\backslash ($ x $\backslash )-$direction.

Could use a gaussian surface that is a cylinder with its axis along the z$-$direction.

Could use a spherical gaussian surface.

Possible answers

A conducting sphere with excess charge, $-2$ nC $.$

Infinite line of charge, uniformly distributed along the z$-$axis.

A shell of charge concentric on a conducting sphere.

An insulating sphere with non$-$uniform charge distributed as $\backslash (\backslash$mathrm$\{$Ar$\}^\{\backslash$wedge$\}2\backslash ),$ where $\backslash ($ A $\backslash )$ is a constant and $\backslash ($ r $\backslash )$ is the distance from the center of the sphere.

A uniformly distributed slab of charge, of small thickness d and very, very large area A $,$ lying in the yz$-$plane.

A long, straight coaxial cable lying on the z$-$axis, with some excess charge on each conductor.

Infinite sheet of charge, uniformly distributed in the yz$-$plane.

A cylinder of charge, radius R $,$ with central axis along the z$-$direction, and uniform charge distribution.

A uniformly$-$distributed cube of charge, with side length d$.$

A uniformly$-$distributed tetrahedron of charge, centered on the origin.

Very large conducting sheet with some excess charge Q $,$ and thickness d $,$ with its area vector along the x $-$direction.