Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

A curve is defined by $\frac{dy}{dx} = \frac{12}{(2x + 1)^2}$. The point $(1, 1)$ is on the curve.
(main)[6]

Determine the coordinates of the point where the curve meets the $x$-axis.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Integrates $\frac{dy}{dx}=\frac{12}{(2x+1)^2}$ to obtain $y=\frac{-12}{2x+1}+c$.

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI