6.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{3e44996a-4635-46f6-bd45-7799a8c49463-3_589_894_248_397}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows the curve with equation \(y = 4 x + \frac { 1 } { x } , x > 0\).
- Find the coordinates of the minimum point of the curve.
The shaded region \(R\) is bounded by the curve, the \(x\)-axis and the lines \(x = 1\) and \(x = 4\).
- Use the trapezium rule with three intervals of equal width to estimate the area of \(R\).