TMUA Euclid Sample Paper 1 · Question 17

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Euclid Sample Paper 1 · Q17

Paper 1CalculusGeometryAlgebra

A monic cubic polynomial $f$ has three distinct real roots. The two bounded regions enclosed by the curve $y=f(x)$ and the $x$ -axis have equal areas.

The curve has two stationary points, and the horizontal distance between them is $2$ . What is the total area of the two bounded regions?

\frac32

2

3

4

\frac92

6

9

12

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