Consider the surface given by $z = x y ^ { 3 } - x ^ { 2 } y$ . Find an equation for the tangent plane to the surface at the point $( 3,2,6 )$ . Also, find parametric equations for the normal line to the surface at the point $( 3,2,6 )$

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The Answer of Consider the surface given by $z = x y ^ { 3 } - x ^ { 2 } y$ . Find an equation for the tangent plane to the surface at the point $( 3,2,6 )$ . Also, find parametric equations for the normal line to the surface at the point $( 3,2,6 )$

Consider the Surface Given By z=xy3−x2yz = x y ^ { 3 } - x ^ { 2 } yz=xy3−x2y

Consider the Surface Given By $z = x y ^ { 3 } - x ^ { 2 } y$