How can we compute the surface area of a surface? In the previous video (see vector calc playlist below) we derived the surface area when the surface was described parametrically. In this video we focus on when the surface is described explicitly and implicitly, and when those formulas work. The formula only workThe formula for the explicit case could be memorized, but it quickly follows from the implicit case so I usually don't bother. Note that I do skip the formal proof of the formula. The basic ingredients of that proof is to come up with a parameterization (via implicit function theorem) and then plug into the surface area formula for parameterized surfaces.
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Смотрите видео Surface Area for Implicit & Explicit Surfaces // Vector Calculus онлайн без регистрации, длительностью часов минут секунд в хорошем качестве. Это видео добавил пользователь Dr. Trefor Bazett 03 Декабрь 2020, не забудьте поделиться им ссылкой с друзьями и знакомыми, на нашем сайте его посмотрели 47,973 раз и оно понравилось 1.3 тысяч людям.