Reduce the equation to one of the standard forms, classify the surface, and sketch it:

• $x^2-y^2+z^2-4x+2y+2z+4=0$
• $4x -y^2+4z^2 = 0 $

Find an equation for the surface obtained by rotating the line $x=3y$ about the x-axis.

Find an equation for the surface consisting of all points that are equidistant from the point $(0,2,0)$ and the plane $y = 4$.