Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram presents a section of the curve $y = \frac{8}{\sqrt{3x + 4}}$. It crosses the $y$-axis at $A(0,4)$. The normal drawn to the curve at $A$ meets the line $x = 4$ at $B$.
(i)[5]

Find the coordinates of point $B$.

(ii)[6]

Show, with all necessary working, that the areas of regions $P$ and $Q$ are equal.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: So, $\dfrac{dy}{dx}=-\dfrac{12}{(3x+4)^{3/2}}$

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