Let $f : \mathbb{R} \to \mathbb{R}^2$ be defined by $f(t) = (2t^{2},2t^{3})$.

(a) The level sets of $f$ are all subsets of $\mathbb{R}^k$ for $k =$ .

(b) Find all points in the level set of $f$ at level $(2,2)$. If there is more than one point, enter your answers as a comma separated list.