If I have been given a surface x = 12 − y^2 − z^2 between x = 3 and x = 8, oriented by the unit normal which points away from the x–axis.
I want to find an orientation preserving parameterization.
The Attempt at a Solution
I know orientation preserving means that the normal vector is pointing outward. I'm not sure how to apply this to parameterize this surface however.