9709/32 · May/June 2022
Pure Mathematics 3 · 75 marks · 10 questions
- Question 14 marks
Solve an equation with exponentials and logarithms to 3 decimal places.
- Question 25 marks
Solve an equation with cos 2θ and cos θ.
- Question 35 marks
Find two coefficients of a cubic from divisibility and a remainder.
- Question 46 marks
Stationary point on a trigonometric curve.
- Question 57 marks
Show there is one root by sketching, then iterate.
- Question 68 marks
Solve a separable differential equation with an initial condition.
- Question 79 marks
Implicit differentiation and points with a horizontal tangent.
- Question 810 marks
Partial fractions, then integrate between limits.
- Question 910 marks
Two lines in 3D: when they meet, perpendicularity and the point of intersection.
- Question 1011 marks
Use a complex root of a cubic, then sketch a locus and find the greatest argument.