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Find the Area of the Surface with Vector Equation R (u,v)={ucos⁡v,usin⁡v,u2}( u , v ) = \left\{ u \cos v , u \sin v , u ^ { 2 } \right\}

Question 268

Essay

Find the area of the surface with vector equation r (u,v)={ucos⁡v,usin⁡v,u2}( u , v ) = \left\{ u \cos v , u \sin v , u ^ { 2 } \right\} , 0≤u≤20 \leq u \leq 2 , 0≤v≤2π0 \leq v \leq 2 \pi .

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