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Консультация № 202853
20.05.2022, 07:37
0.00 руб.
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Вычислить тройной интеграл, область V:z^2=4(x^2+y^2); y>=+-x;z>=0;z=2. Интеграл в прикрепленном файле
Вычислить тройной интеграл, область V:z^2=4(x^2+y^2); y>=+-x;z>=0;z=2. Интеграл в прикрепленном файле
Прикрепленные файлы:
Обсуждение
22.05.2022, 08:17
общий
это ответ
Здравствуйте, oligator.a.y!
В трёхмерном евклидовом пространстве система выражений, указанных в задании, определяет множество точек, расположенных между плоскостями
(причём 
), 
и конусом второго порядка 
Указанный конус пересекается с плоскостью по окружности, центр которой находится в точке 
а радиус равен 
Тогда
(вычисление интеграла показано здесь: Ссылка >>)
(вычисление интеграла показано здесь: Ссылка >>)
В трёхмерном евклидовом пространстве система выражений, указанных в задании, определяет множество точек, расположенных между плоскостями
(причём ), и конусом второго порядка Указанный конус пересекается с плоскостью по окружности, центр которой находится в точке а радиус равен Тогда(вычисление интеграла показано здесь: Ссылка >>)
(вычисление интеграла показано здесь: Ссылка >>)
Об авторе:
Facta loquuntur.
Facta loquuntur.
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