2026 ZHSS P2 Q3

2026 ZHSS P2 Q3

Secondary 4
5 marks

For a particular curve, \(\dfrac{\mathrm{d}^2y}{\mathrm{d}x^2}=6\sin2x-4\cos x\).

The curve passes through the point \(Q(0,5)\) and the gradient of the curve at \(Q\) is 2.

Find the equation of the curve.[5]

Solution:

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Answer:\(y=-\dfrac32\sin2x+4\cos x+5x+1\)

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