O-LevelAdditional MathematicsLogarithmic and exponential functions4037/11 · Oct/Nov 2010 · Q1211 Marks
Answer only one of the following two alternatives. EITHER
- (i)A curve is such that `dy/dx = 4x² – 9`. The curve passes through the point (3, 1). Find the equation of the curve.[4]
- (ii)The curve has stationary points at A and B. Find the coordinates of A and of B.[3]
- (iii)Find the equation of the perpendicular bisector of the line AB.[4]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2010). The mark or mark type is shown in brackets.
- M1, A1 M1 for attempt to integrate
- M1, A1 M1 for attempt to find c
- M1 M1 for attempt to solve dy/dx = 0
- A1, A1 A1 for each pair
- M1 M1 for attempt to find midpoint
- M1 M1 for attempt to find grad of perp
- M1, A1 M1 must be working with perp
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