5.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{c46ca445-cf59-4664-931e-add9f2f81851-14_940_881_251_593}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Figure 2 shows a sketch of the curve with equation
$$y ^ { 2 } = 2 x ^ { 2 } + 15 x + 10 y$$
- Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(x\) and \(y\).
The curve is not defined for values of \(x\) in the interval ( \(p , q\) ), as shown in Figure 2.
- Using your answer to part (a) or otherwise, find the value of \(p\) and the value of \(q\).
(Solutions relying entirely on calculator technology are not acceptable.)