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Find the Arc Length For r(t)=i+5t2j+8t3k over the interval [0,2]. Round your \mathbf { r } ( t ) = \mathbf { i } + 5 t ^ { 2 } \mathbf { j } + 8 t ^ { 3 } \mathbf { k } \text { over the interval } [ 0,2 ] \text {. Round your }

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Find the arc length for r(t) =i+5t2j+8t3k over the interval [0,2]. Round your \mathbf { r } ( t ) = \mathbf { i } + 5 t ^ { 2 } \mathbf { j } + 8 t ^ { 3 } \mathbf { k } \text { over the interval } [ 0,2 ] \text {. Round your } answer to two decimal places.


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