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## Homework Statement

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.

## Homework Equations

## 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.