1.
\begin{figure}[h]
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\caption{Figure 1}
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A uniform lamina is in the shape of the region \(R\). Region \(R\) is bounded by the curve with equation \(y = 4 - x ^ { 2 }\), the positive \(x\)-axis and the positive \(y\)-axis, as shown shaded in Figure 1.
Use algebraic integration to find the \(x\) coordinate of the centre of mass of the lamina.