# Calculate the area of the surface parameterised form

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• March 11th 2011, 04:45 AM
maximus101
Calculate the area of the surface parameterised form
Calculate the area of the surface parameterised by
$r(u,v):= (\frac{1}{2}u^2,uv,v^2)$,
$0 \le u \le 2, -1 \le v \le 1$
• March 11th 2011, 05:18 AM
HallsofIvy
$r_u= (u, v, 0)$, $r_v= (0, u, 2v)$. The "fundamental vector product", and what you need to integrate, is the magnitude of the cross product of those two vectors, times dudv.

If you do not show some work in the future, I will not respond to any more of your questions.