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

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

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

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