May/June 2026 Paper 21

2026 · 7 questions · 15 parts · 50 marks

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Finish set
Q1
1
–/4 mks
Q2
2(a)2(b)
–/6 mks
Q3
3(a)3(b)
–/4 mks
Q4
4(a)4(b)
–/7 mks
Q5
5(a)5(b)5(c)5(d)
–/10 mks
Q6
6(a)6(b)6(c)
–/10 mks
Q7
7
–/9 mks
Context for question 6
the curve with parametric equations $x=1+2e^{2t}$, $y=\dfrac{e^{t}}{9+e^{2t}}$, rising steeply from the origin to a labelled maximum point $M$ and then falling gently to the right, with axes labelled $x$, $y$ and origin $O$
The diagram shows the curve with parametric equations
The curve has a maximum point .
6(a)Implicit Parametric Inverse DifferentiationMedium4 marks
Find an expression for in terms of .
6(b)Stationary Points OptimisationMedium3 marks
Find the coordinates of .
-coordinate of
-coordinate of
6(c)Implicit Parametric Inverse DifferentiationMedium3 marks
Find the gradient of the curve at the point for which .
Gradient