1 The diagram shows the curve with equation \(y = \ln ( 6 x )\).
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- State the \(x\)-coordinate of the point of intersection of the curve with the \(x\)-axis.
(1 mark) - Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\).
(2 marks) - Use Simpson's rule with 6 strips (7 ordinates) to find an estimate for \(\int _ { 1 } ^ { 7 } \ln ( 6 x ) \mathrm { d } x\), giving your answer to three significant figures.