O-LevelAdditional MathematicsDifferentiation and integration4037/11 · Oct/Nov 2010 · Q98 Marks
The figure shows a rectangular metal block of length 4x cm, with a cross-section which is a square of side xcm and area Acm². The block is heated and the area of the cross-section increases at a constant rate of 0.003 cm²s⁻¹. Find [Figure 9.1]
- (i)`dA/dx` in terms of x,[1]
- (ii)the rate of increase of x when x = 5,[3]
- (iii)the rate of increase of the volume of the block when x = 5.[4]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2010). The mark or mark type is shown in brackets.
- B1 B1
- √ B1 Follow through on their dA/dx
- M1 M1 for 0.003 ÷ their 10
- A1
- B1, B1 B1 for each
- M1
- A1
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