       $S''(1)=f''(1)$. In other words, find a quadratric that
        passes through the same point, has the same slope, and the
        same concavity as $f(x)=e^x$ does at $x=1$.
      </li>

      <li>Find a third degree polynomial written in the form
      $$P(x)=a+b(x-1)+c(x-1)^2+d(x-1)^3$$ so that $P(1)=f(1)$,
      $P'(1)=f'(1)$, $P''(1)=f''(1)$, and $P'''(1)=f'''(1)$. In
      other words, give me a cubic that passes through the same
      point, has the same slope, the same concavity, and the same