- Question 18 marks
Points on an implicit curve, then the tangent.
- Question 24 marks
Rate of change of the radius of a melting sphere.
- Question 36 marks
Solve a differential equation with an initial condition.
- Question 48 marks
Partial fractions, then an exact integral giving a logarithm.
- Question 59 marks
Normal to a parametric curve, then its Cartesian equation.
- Question 68 marks
Vector equation of a line and unknown coordinates from an angle.
- Question 76 marks
Integration by the substitution u = tan x.
- Question 810 marks
Binomial series, then a numerical approximation.
- Question 912 marks
Volume of revolution with integration by parts, and a composite solid.
- Question 104 marks
Prove a trigonometric inequality by contradiction.