Mathematics (AS & A Level) · Oct / Nov 2016 · Paper 33 · Question 5

x y O N P x, y The diagram shows a variable point P with coordinates x, y and the point N which is the foot of the perpendicular from P to the x-axis. P moves on a curve such that, for all x ≥0, the gradient of the curve is equal in value to the area of the triangle OPN, where O is the origin.

Read automatically from the paper; the printed page above is exact.