1 For the function $f(x,y) = \frac{x}{y^2}$
(i) find the domain, (ii) find the range, (iii) find the interior points of the domain, if they exist,
(iv) find the boundary points of the domain, if they exist, (v) decide whether the domain is
bounded, (vi) decide whether the domain is closed.
For $f(x, y) = \frac{x}{y^2}$, sketch the level curves $f(x, y) = c$, for $c = -2, -1, 0, 1, 2.$