How would you split the following expression into partial fractions?
\[\frac{f(x)}{(ax+b)(cx+d)}\]

How would you split the following expression into partial fractions?
\[\frac{f(x)}{(ax+b)(cx+d)^2}\]

\[\sin(A\pm B)=?\]
(Given in formulae booklet)

\[\cos(A\pm B)=?\]
(Given in formulae booklet)

\[\tan(A\pm B)=?\]
(Given in formulae booklet)

\[\sin 2A = ?\]

Give the 3 identities for \(\cos 2A\)

\[\tan 2A=?\]

How do you find \[\int \sin^2 x \, dx
\]

How do you find \[\int \cos^2 x \, dx
\]

How do you find \[\int \tan^2 x \, dx
\]

What is meant by a Cartesian equation?

When applying the \(R, \alpha\) method, if \(R\sin \alpha =a\) and \(R\cos \alpha =b\), how would you find \(R\) and \(\alpha\)?

What is the greatest value of \(R\sin (x+\alpha)\) and find a value of \(x\) for which this occurs

What is the least value of \(R\sin (x+\alpha)\) and find a value of \(x\) for which this occurs

If \(x=f(t)\) and \(y=g(t)\), how would you find \(\frac{\text{d}y}{\text{d}x}\)?

If the rate of increase of \(P\) over time is directly proportional to \(f(P)\), write down a differential equation that is satisfied by \(P\).

If the rate of decrease of \(P\) over time is directly proportional to \(f(P)\), write down a differential equation that is satisfied by \(P\).

If the rate of increase of \(P\) over time is inversely proportional to \(f(P)\), write down a differential equation that is satisfied by \(P\).

If the rate of decrease of \(P\) over time is inversely proportional to \(f(P)\), write down a differential equation that is satisfied by \(P\).

What is the formula for the volume of revolution of a curve about the \(x\)-axis?

What is the formula for integration by parts?

(given in formulae book)

\[\int \frac{1}{ax+b} \, \text{d}x=?\]

When \(n \neq -1\),
\[\int (ax+b)^n \, \text{d}x=?\]

What is a unit vector?

What is the magnitude of vector \(a\mathbf{i}+b\mathbf{j}+c\mathbf{k}\)

If vectors \(\mathbf{a}\) and \(\mathbf{b}\) are parallel, then...?

If \(\mathbf{a}\) and \(\mathbf{b}\) are the position vectors of points \(\mathbf{A}\) and \(\mathbf{B}\), how would you find \(\mathbf{AB}\)?

A line passes through the point with position vector \(\mathbf{a}\) and is in the direction of \(\mathbf{b}\). What is the vector equation of the line?

What is the formula for the scalar product of vectors \(\mathbf{a}\) and \(\mathbf{b}\)?

If vectors \(\mathbf{a}\) and \(\mathbf{b}\) are perpendicular, \(\mathbf{a} \cdot \mathbf{b}=?\)