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Find the Arc Length of the Curve Given By r(t)=(t,62t2,t3)0t1\mathbf { r } ( t ) = \left( t , \frac { \sqrt { 6 } } { 2 } t ^ { 2 } , t ^ { 3 } \right) 0 \leq t \leq 1

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Find the arc length of the curve given by r(t)=(t,62t2,t3)0t1\mathbf { r } ( t ) = \left( t , \frac { \sqrt { 6 } } { 2 } t ^ { 2 } , t ^ { 3 } \right) 0 \leq t \leq 1

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