June 2023 Paper 3 Q2

AQACurrent spec1 markNumerical Methods

2 The trapezium rule is used to estimate the area of the shaded region in each of the graphs below.

Identify the graph for which the trapezium rule produces an overestimate.

Tick (✓) one box. [1 mark]

Four graphs, each with a shaded region under a curve and a tick box: first, a straight line with positive gradient; second, an increasing curve that gets steeper (convex); third, an increasing curve that gets less steep (concave); fourth, two straight line segments rising to a peak and then falling
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