10
\includegraphics[max width=\textwidth, alt={}, center]{dd199f4d-8cf3-4b1e-92aa-d54e9e94da57-4_693_931_269_607}
The diagram shows the graph of \(y = 1 - 3 x ^ { - \frac { 1 } { 2 } }\).
- Verify that the curve intersects the \(x\)-axis at \(( 9,0 )\).
- The shaded region is enclosed by the curve, the \(x\)-axis and the line \(x = a\) (where \(a > 9\) ). Given that the area of the shaded region is 4 square units, find the value of \(a\).