A particle moves along the curve \( y=\frac{2}{3} x^{3}+1 \). Find the points on the curve at wh...

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A particle moves along the curve \( y=\frac{2}{3} x^{3}+1 \). Find the points on the curve at which the \( y \)-coordinate is changing twice as fast as the \( x \)-coordinate.
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