8
17
2 Given that
$$6 \cos \theta + 8 \sin \theta \equiv R \cos ( \theta + \alpha )$$
find the value of \(R\).
Circle your answer.
681014
3 Determine which one of these graphs does not represent \(y\) as a function of \(x\). Tick \(( \checkmark )\) one box.
\includegraphics[max width=\textwidth, alt={}, center]{076ea8e9-9295-46d2-b5f9-b27fa969129e-03_2246_974_443_495}
4
- Use the factor theorem to prove that \(x - 6\) is a factor of \(\mathrm { p } ( x )\).
\(4 \quad \mathrm { p } ( x ) = 4 x ^ { 3 } - 15 x ^ { 2 } - 48 x - 36\)
4 - Prove that the graph of \(y = \mathrm { p } ( x )\) intersects the \(x\)-axis at exactly one point.
4
- (ii) State the coordinates of this point of intersection.