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

Question 235

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Consider the surface given by z=xy3−x2yz = x y ^ { 3 } - x ^ { 2 } y . Find an equation for the tangent plane to the surface at the point (3,2,6)( 3,2,6 ) . Also, find parametric equations for the normal line to the surface at the point (3,2,6)( 3,2,6 )

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tangent pl...

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