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Identify the Surface with the Vector Equation r(u,v)=(1+2u+3v)i+(5u+4v)j+(3+5u7v)k\mathbf { r } ( u , v ) = ( 1 + 2 u + 3 v ) \mathbf { i } + ( 5 - u + 4 v ) \mathbf { j } + ( 3 + 5 u - 7 v ) \mathbf { k }

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Identify the surface with the vector equation r(u,v)=(1+2u+3v)i+(5u+4v)j+(3+5u7v)k\mathbf { r } ( u , v ) = ( 1 + 2 u + 3 v ) \mathbf { i } + ( 5 - u + 4 v ) \mathbf { j } + ( 3 + 5 u - 7 v ) \mathbf { k }

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