8 A curve has equation
$$y = x ^ { 3 } + p x ^ { 2 } + q x - 45$$
The curve passes through point \(R ( 2,3 )\)
The gradient of the curve at \(R\) is 8
8
- Find the value of \(p\) and the value of \(q\).
8 - Calculate the area enclosed between the normal to the curve at \(R\) and the coordinate
8
- axes.
\(9 \quad\) A curve \(C\) has equation \(y = \mathrm { f } ( x )\) where
$$f ( x ) = ( x - 2 ) ( x - 3 ) ^ { 2 }$$