4.04: Curve from a second derivative

0606/11/M/J/26 — Question 10 · 8 marks

A curve has \(\dfrac{\mathrm{d}^2y}{\mathrm{d}x^2}=(2x+10)^{-1/2}-2x\) and a stationary point at \(\left(3,\dfrac{64}{3}\right)\).
Find the equation of the curve.
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