- Question 18 marks
Composite functions, range, an inverse and solving f⁻¹(x) = f(x).
- Question 27 marks
Write a sine–cosine combination as R cos(x + α), then its minimum.
- Question 35 marks
Turn a straight-line log–log graph into a power law.
- Question 45 marks
Show a rational form of f(x) and differentiate it.
- Question 54 marks
A trigonometric integral and an algebraic integral.
- Question 68 marks
Cooling model: find constants and when the cooling rate takes a value.
- Question 79 marks
A stationary point, an iteration formula and a root to 3 decimal places.
- Question 88 marks
Prove a tangent identity, then solve an equation in an interval.
- Question 911 marks
Intercepts of a trigonometric curve, a second derivative, and a normal and tangent.
- Question 1010 marks
A modulus function: vertex, an inequality and the range of k for two intersections.