O-LevelAdditional MathematicsDifferentiation and integration4037/12 · Oct/Nov 2014 · Q35 Marks
A curve is such that dy/dx = 2/√x+3 for x >-3. The curve passes through the point (6, 10).
- (i)Find the equation of the curve.[4]
- (ii)Find the x-coordinate of the point on the curve where y = 6.[1]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2014). The mark or mark type is shown in brackets.
- [2] M1 for (x+3)^(1/2), A1 for 4(x+3)^(1/2)
- [1] M1 for a correct attempt to find c, but must be from an attempt to integrate
- [1] A1 Allow A1 for c = -2 y = 4(x+3)^(1/2) - 2
- [1] A1 ft ft for substitution into their equation to obtain x; must have the first M1 x=1
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