6.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{beeaedf6-62e8-4649-b023-1b7e2be9957e-10_524_734_146_532}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Figure 2 shows the curve with parametric equations
$$x = t + \sin t , \quad y = \sin t , \quad 0 \leq t \leq \pi .$$
- Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(t\).
- Find, in exact form, the coordinates of the point where the tangent to the curve is parallel to the \(x\)-axis.
- Show that the region bounded by the curve and the \(x\)-axis has area 2 .
6. continued