3.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{f07cc9ed-a820-46c8-a3a3-3c780cf20fa7-05_821_1273_118_338}
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\caption{Figure 1}
\end{figure}
Figure 1 shows a sketch of part of the curve with equation \(y = \sqrt { } ( 2 x - 1 ) , x \geqslant 0.5\)
The finite region \(R\), shown shaded in Figure 1, is bounded by the curve, the \(x\)-axis and the lines with equations \(x = 2\) and \(x = 10\).
The table below shows corresponding values of \(x\) and \(y\) for \(y = \sqrt { } ( 2 x - 1 )\).
| \(x\) | 2 | 4 | 6 | 8 | 10 |
| \(y\) | \(\sqrt { } 3\) | | \(\sqrt { } 11\) | | \(\sqrt { } 19\) |
- Complete the table with the values of \(y\) corresponding to \(x = 4\) and \(x = 8\).
- Use the trapezium rule, with all the values of \(y\) in the completed table, to find an approximate value for the area of \(R\), giving your answer to 2 decimal places.
- State whether your approximate value in part (b) is an overestimate or an underestimate for the area of \(R\).