(723,#23) Match the equation with its graph (labeled I-VIII).
Give reasons for your choice.

Solution: This is the equation of an ellipse with vertices at

Since the equation does not contain y as a variable the surface is an elliptic cylinder extended on the y-axis. That is the surface consist of lines that go through and are perpendicular to .

Therefore the graph that matches this equation is VIII.

Maple code

By: gm