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

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

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

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