Part $1(10$ points$)$

Consider shapes shown below. Each shape has clarification on how many surfaces make up that shape.

Imagine, we place $3\mathrm{.}2$ C charge inside of all of those shapes, placing it at the center.

A$)(5$ points$)$ What will be the total flux through total surface of each of the shapes

B$)(5$ points$)$ What will be the flux through one of the facets for each of the shapes.

Part $2(15$ points$)$

In a certain region an Electric potential is a variable field along y direction.

The function describing the potential is

$V=(15y^2-3y^3)\frac{V}{m}$

Draw a graph $($roughly$)$ of Electric field vs y position