9709/32 · May/June 2025

Solve an equation involving exponentials, giving the answer to 3 decimal places.

Expand an algebraic expression as a series up to x² and state where it is valid.

Shade a region of the Argand diagram given by a modulus and an argument inequality.

Solve a trigonometric equation involving cotangent for angles between 0° and 180°.

Find the exact square roots of a complex number by forming a quartic.

Show a single root graphically, locate it by calculation, then use an iterative formula.

Write a trigonometric combination as R cos(θ − α), then solve an equation with it.

Solve a first-order differential equation from an initial condition.

Vector equation of a line, an angle by scalar product and the exact area of a triangle.

Polynomial division, then an exact definite integral.

Exact position of a maximum point, then an enclosed area using a substitution.