Repeat Question 1 for the following pairs $(V_i, Y_i)$, where $Y_i$ is a subset of the vector space $V_i$.
(a) $V_1 = S$, $Y_1 = \{(a_n)_n \in S | a_n = \cos(n)a_{n-1} + \sin(n)a_{n-2} \text{ for all } n \ge 2\}$.
(b) $V_2 = P_1$, $Y_2 = \{p \in P_1 | p(0)(p(1) - p(0)) \ge 0\}$. (Hint: If $p = ax + b$, interpret $p(0)(p(1) - p(0))$ in terms of $a$ and $b$.)