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A Curve Is Written Parametrically As x=3tt3,y=3t2x = 3 t - t ^ { 3 } , y = 3 t ^ { 2 }

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A curve is written parametrically as x=3tt3,y=3t2x = 3 t - t ^ { 3 } , y = 3 t ^ { 2 } Find the arc length of the curve from t=0 to t=1t = 0 \text { to } t = 1 .

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