For the following pairs of parametric equations, express $y$ as a function of $x$.

1. $x = \tan t$ and $y = \tan^{2} t$

   Hint (a):

   See the hint for problem 10-87.

2. $x = \log t$ and $y = 1 + t^{2}$

   Hint (b):

   $t = 10^{x}$