<ol class="abc-list"><li data-list-item-id="item-6a"><div class="list-item-paragraph">The equation of a curve is \(y = \frac{(x^2 - 7)^5}{2}\), where&nbsp;\(x &gt; 0\).<br>Find the coordinates of the stationary point of the curve and determine its nature.<span class="inline-marks">[5]</span></div></li><li data-list-item-id="item-6b"><div class="list-item-paragraph">The normal to the curve \(y = 5x - \frac{2}{x}\) at \(x = -1\) intersects the \(y\)-axis at the point \(Q\).<br>Find the \(y\)-coordinate of \(Q\).<span class="inline-marks">[4]</span></div></li></ol>

The equation of a curve is \(y = \frac{(x^2 - 7)^5}{2}\), where \(x > 0\).
Find the coordinates of the stationary point of the curve and determine its nature.

The normal to the curve \(y = 5x - \frac{2}{x}\) at \(x = -1\) intersects the \(y\)-axis at the point \(Q\).
Find the \(y\)-coordinate of \(Q\).