2 The surface \(S\) is given by \(z = x ^ { 2 } + 4 x y\) for \(- 6 \leqslant x \leqslant 6\) and \(- 2 \leqslant y \leqslant 2\).
- Write down the equation of any one section of \(S\) which is parallel to the \(x\)-z plane
- Sketch the section of (a)(i) on the axes provided in the Printed Answer Booklet.
- Write down the equation of any one contour of \(S\) which does not include the origin.