tmua.me Medium Set B Paper 2 · Question 13

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tmua.me Medium Set B Paper 2 · Q13

Paper 2GeometryFunctions & graphsAlgebra

The graph $y=f(x)$ , where $f$ is a quadratic polynomial, lies above the $x$ -axis for $0\leq x\leq2$ . The area between the graph, the $x$ -axis and the lines $x=0$ and $x=2$ is $9$ .

The trapezium rule with two strips of equal width gives an estimate of $10$ for this area.

What is $f'(2)-f'(0)$ ?

-12

3

6

12

24

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