O-LevelAdditional MathematicsDifferentiation and integration4037/12 · May/June 2010 · Q1312 Marks
Answer only one of the following two alternatives. OR A curve is such that dy/dx = 6e³ˣ – 12. The curve passes through the point (0, 1).
- (i)Find the equation of the curve.[4]
- (ii)Find the coordinates of the stationary point of the curve.[3]
- (iii)Determine the nature of the stationary point.[2]
- (iv)Find the coordinates of the point where the tangent to the curve at the point (0, 1) meets the x-axis.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2010). The mark or mark type is shown in brackets.
- M1, A1 for attempt to integrate, condone omission of c
- M1, A1 for attempt to obtain c
- M1 for attempt to solve
- A1, A1
- M1, A1 for a complete, correct method
- M1 for attempt to get equation of tangent at (0, 1)
- DM1 for substitution of y = 0
- A1
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