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Find the Area of the Surface with Vector Equation R (u,v)=u+2v,u2v,u2+2v2( u , v ) = \left\langle u + 2 v , u - 2 v , u ^ { 2 } + 2 v ^ { 2 } \right\rangle

Question 157

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Find the area of the surface with vector equation r (u,v)=u+2v,u2v,u2+2v2( u , v ) = \left\langle u + 2 v , u - 2 v , u ^ { 2 } + 2 v ^ { 2 } \right\rangle , u2+v24u ^ { 2 } + v ^ { 2 } \leq 4 .

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