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Thread: Calculate the area of the surface parameterised form

  1. #1
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    Calculate the area of the surface parameterised form

    Calculate the area of the surface parameterised by
     r(u,v):= (\frac{1}{2}u^2,uv,v^2) ,
     0 \le u \le 2, -1 \le v \le 1
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  2. #2
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    r_u= (u, v, 0), r_v= (0, u, 2v). The "fundamental vector product", and what you need to integrate, is the magnitude of the cross product of those two vectors, times dudv.

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