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Find the Arc Length Function s(t)s ( t ) For the Curve Defined By

question 11

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Find the arc length function s(t)s ( t ) for the curve defined by r(t)=e2tcosti+e2tsintj+e2tk\mathbf { r } ( t ) = e ^ { 2 t } \cos t \mathbf { i } + e ^ { 2 t } \sin t \mathbf { j } + e ^ { 2 t } \mathbf { k } for t0t \geq 0 Then use this result to find a parametrization of C in terms of s.


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