9709 P11 - Jun 2015 - Q10
1287
The diagram shows part of the curve \(y = \frac{8}{\sqrt{3x+4}}\). The curve intersects the y-axis at \(A (0, 4)\). The normal to the curve at \(A\) intersects the line \(x = 4\) at the point \(B\).
(i) Find the coordinates of \(B\).
(ii) Show, with all necessary working, that the areas of the regions marked \(P\) and \(Q\) are equal.
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