Find an Equation of the Tangent Plane to the Parametric $\mathbf { r } ( u , v ) = u e ^ { v } \mathbf { i } + u v \mathbf { j } + v e ^ { - u } \mathbf { k }$

Short Answer

Find an equation of the tangent plane to the parametric surface represented by r at the specified point. $\mathbf { r } ( u , v ) = u e ^ { v } \mathbf { i } + u v \mathbf { j } + v e ^ { - u } \mathbf { k }$ ; u = ln 5, v = 0