#### Problem 19E

19-22 Compute $\Delta y$ and $d y$ for the given values of $x$ and $d x=\Delta x$. Then sketch a diagram like Figure 5 showing the line segments with lengths $d x, d y$, and $\Delta y$.

19. $y=x^{2}-4 x, \quad x=3, \quad \Delta x=0.5$