I don't know why I can't figure this out. How would you write z=x^2-y^2 in cylindrical coordinates? I know that obviously if it were x^2+y^2 you would simply have z=r^2...
I don't know why I can't figure this out. How would you write z=x^2-y^2 in cylindrical coordinates? I know that obviously if it were x^2+y^2 you would simply have z=r^2...
recall, for cylindrical coordinates, we use $\displaystyle (x,y,z) = (r \cos \theta , r \sin \theta, z)$
so simply replace x with $\displaystyle r \cos \theta$ and y with $\displaystyle r \sin \theta$ and simplify