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\includegraphics[max width=\textwidth, alt={}, center]{3b527397-7781-41e9-8218-57277cc977bf-3_391_595_1978_774}
The diagram shows part of the curve \(y = \frac { 6 } { 3 x - 2 }\).
- Find the gradient of the curve at the point where \(x = 2\).
- Find the volume obtained when the shaded region is rotated through \(360 ^ { \circ }\) about the \(x\)-axis, giving your answer in terms of \(\pi\).