Edexcel C4 — Question 6

Exam BoardEdexcel
ModuleC4 (Core Mathematics 4)
TopicParametric equations

6. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{922f404e-12d5-490b-9c8d-509f3a304c1e-10_438_700_255_518} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} Figure 1 shows the curve with parametric equations $$x = 2 - t ^ { 2 } , \quad y = t ( t + 1 ) , \quad t \geq 0$$
  1. Find the coordinates of the points where the curve meets the coordinate axes.
  2. Find the exact area of the region bounded by the curve and the coordinate axes.
    6. continued