Area of a Parameterized Surface

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This video explains how to determine the area of parameterized surface and introduced a surface integral.
  1. Mathispower4u
  2. area
  3. surface
  4. parametric
  5. parameterized
  6. integral
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Комментарии
Автор

It didn't affect your subsequent calculations, but the cross product at 3:59 should be < 3cosu, 3sinu, 0 >. The cross product of two vectors is a vector of the same dimension.

jerklecirque
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It looks fine to me. However, for the z component, you need to factor out 4sin(u)cos(u) which leaves a factor of (cos v)^2 + (sin v)^2, which equals 1.

Mathispoweru
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I like how the subtitles say "pie" for pi

alexadavis
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Awesome!!! Even my doggy could do it now!!!

mikecho
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LOL - I realize this was just for demonstrating the idea, but I couldn't help but think it would be so much faster to just use pi X diameter X height. 

arthuruppiano
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can you check your cross product again 6:53 i think its wrong

khonhlo