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\includegraphics[max width=\textwidth, alt={}, center]{c8925c7a-cb3b-43b8-9d09-8adc800c6887-4_798_805_258_669} The diagram shows part of the curve \(y = \frac { 8 } { \sqrt { } ( 3 x + 4 ) }\). 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 \(B\).

1. Find the coordinates of \(B\).
2. Show, with all necessary working, that the areas of the regions marked \(P\) and \(Q\) are equal.