\( \mathrm{P} \) W A particle moves along the curve \( 6 y=x^{3}+2 ...

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\( \mathrm{P} \)
W
A particle moves along the curve \( 6 y=x^{3}+2 \). Find the points on the curve at which the \( y \)-coordinate is changing 8 times as fast as the \( x \)-coordinate.
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