May/June 2026 Paper 11

2026 · 11 questions · 19 parts · 75 marks

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Context for question 10

The equation of a curve is such that

\frac{d ^{2} y}{d x ^{2}} = 3 x^{2} - 6

. The point

P (2, 3)

is a stationary point on the curve.

10(a)Stationary Points OptimisationEasy1 mark

By evaluating

\frac{d ^{2} y}{d x ^{2}}

P

, determine the nature of this stationary point.

Answer

10(b)Antiderivatives Definite IntegralsHard5 marks

Find the equation of the curve.

Working

0 words

10(c)(i)Stationary Points OptimisationMedium3 marks

Find the exact

x

-coordinates of any other stationary points. You may use the relationship

x^{3} - (k + 4) x + 2 k \equiv (x - 2) (x^{2} + 2 x - k)

if necessary.

Answer

0 words

10(c)(ii)Stationary Points OptimisationMedium2 marks

Determine the nature of these stationary points.

Answer

0 words