O-LevelAdditional MathematicsDifferentiation and integration4037/12 · Oct/Nov 2011 · Q78 Marks
Show that ((4 - √x) / √x)² can be written in the form px⁻¹ + q + rx^(1/2), where p, q and r are integers to be found.
- (i)Show that ((4 - √x) / √x)² can be written in the form px⁻¹ + q + rx^(1/2), where p, q and r are integers to be found.[3]
- (ii)A curve is such that dy/dx = ((4 - √x) / √x)² for x > 0. Given that the curve passes through the point (9, 30), find the equation of the curve.[5]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2011). The mark or mark type is shown in brackets.
- [B1, B1, B1] B1 for each correct term
- [M1] M1 for attempt to integrate a 3 term expression
- [A2, 1, 0] -1 for each error
- [M1] M1 for attempt to find c, must have attempted integration
- [A1] A1 for c = -12
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