7.
\includegraphics[max width=\textwidth, alt={}, center]{e0c7b6f3-9c28-48bd-a401-635efb2521e3-16_581_978_210_699} The figure above shows a circular sector \(O A B\) whose centre is at \(O\). The radius of the sector is 60 cm . The points \(C\) and \(D\) lie on \(O A\) and \(O B\) respectively, so that \(| O C | = | O D | = 24 \mathrm {~cm}\). Given that the length of the arc \(A B\) is 48 cm , find the area of the shaded region \(A B D C\), correct to the nearest \(\mathrm { cm } ^ { 2 }\).
[0pt] [BLANK PAGE] $$y = ( 3 - x ) ( 4 + x ) ^ { 2 }$$ a) Sketch the graph of \(C\). The sketch must include any points where the graph meets the coordinate axes.
b) Sketch in separate diagrams the graph of ...
i. \(\quad \ldots \quad y = ( 3 - 2 x ) ( 4 + 2 x ) ^ { 2 }\).
ii. \(\ldots y = ( 3 + x ) ( 4 - x ) ^ { 2 }\).
iii. ... \(y = ( 2 - x ) ( 5 + x ) ^ { 2 }\). Each of the sketches must include any points where the graph meets the coordinate axes.
[0pt] [BLANK PAGE]