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0606 P12 - Mar 2018 - Q2 - 5 marks
8387

The curve \(y=4+5\sin 3x\) passes through the point \(P\), where \(x=\dfrac13\pi\).

(i) Find \(\dfrac{dy}{dx}\).

(ii) Find the equation of the tangent to the curve at \(P\), giving your answer in the form \(y=mx+c\).

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