Find the gaussian and the mean curvatures of
Now, I know that I have to parametrize this equation first, but I'm not sure how I should do it, please help.
Isn't this a hyperboloid of two sheets? Are we interested in only one of the sheets, or both? As for parametrizing, consider cylindrical coordinates: that is, we can parametrize the upper sheet as
with parameters (note that u and v correspond to r and θ of cylindrical coordinates).
--Kevin C.