- #1
Vampire
- 11
- 0
Homework Statement
Find a function of two variables whose level curves are parabolas with vertex (0,0) with a hole in the parabolas at the origin.
Homework Equations
No special equations come to mind.
4ay=x2 may be a little useful.
The Attempt at a Solution
The first thing I thought of was y=x3/x, but that doesn't include the third variable. I know the parabolas can have any value for a or face any direction, but I do not know how to include z so that the function will remain having level curves as stated.
Are there any other functions with these properties? Any input will be appreciated.