9709/32 · May/June 2024

Sketch a modulus graph and solve a modulus inequality.

Split a rational expression into partial fractions.

Show a relationship becomes a straight line using logarithms and find its equation.

Gradient of an implicitly defined curve at a point.

Locate a root, show an iteration converges to it, and use the iteration.

Find a maximum point, then evaluate an integral.

Prove a trigonometric identity and use it to evaluate an integral.

Vector equations of two lines, where they meet, and a point at a given distance.

Complex products, modulus–argument form and a geometric result.

Differentiate a secant expression, then solve a differential equation.