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Find Parametric Equations of the Tangent Line to the Curve r(t)=e2ti+2sin3tj\mathbf { r } ( t ) = e ^ { 2 t } \mathbf { i } + 2 \sin 3 t \mathbf { j }

Question 74

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Find parametric equations of the tangent line to the curve r(t)=e2ti+2sin3tj\mathbf { r } ( t ) = e ^ { 2 t } \mathbf { i } + 2 \sin 3 t \mathbf { j } at t = 0.

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