Mathematics (AS & A Level) · May / June 2020 · Paper 13 · Question 11

x y O A a b y = x3 −2bx2 + b2x The diagram shows part of the curve with equation y = x3 −2bx2 + b2x and the line OA, where A is the maximum point on the curve. The x-coordinate of A is a and the curve has a minimum point at b, 0 , where a and b are positive constants.

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