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Консультация № 183231
18.05.2011, 18:19
55.00 руб.
0
2
1
Здравствуйте! Прошу помощи в следующем вопросе:
Как найти объем фигуры x2/9 + y2 = 1, z = y, z = 0 (y >= 0). Объясните пожалуйста.
Как найти объем фигуры x2/9 + y2 = 1, z = y, z = 0 (y >= 0). Объясните пожалуйста.
Обсуждение
18.05.2011, 19:12
общий
ну тут надо нарисовать все фигуры которые заданы, и определить пределы интегрирования
чтобы найти объем нужно взять тройной интеграл
так на вскидку, я бы сказал что по z от 0 до y (т.к. начальная точка пересечения это z=0 втора яточка пересечения это z=y)
дальше смотрим по y тут от 0 до y=sqrt(x^2/9-1) (тоже все просто условие y>=0 )
Ну а x от -1/3 до +1/3
Но нужно нарисовать ио посмотреть крайние точки по каждой из очей координат.
чтобы найти объем нужно взять тройной интеграл
так на вскидку, я бы сказал что по z от 0 до y (т.к. начальная точка пересечения это z=0 втора яточка пересечения это z=y)
дальше смотрим по y тут от 0 до y=sqrt(x^2/9-1) (тоже все просто условие y>=0 )
Ну а x от -1/3 до +1/3
Но нужно нарисовать ио посмотреть крайние точки по каждой из очей координат.
Об авторе:
to live is to die
to live is to die
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