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Консультация № 202680
26.04.2022, 22:12
0.00 руб.
1
5
2
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос: Вычислить с помощью двойного интеграла в полярных координатах площадь фигуры, ограниченой кривой, заданой уравнением в декартовых координатах (а-положително)
(x^2+y^2)^2=2ax^2
(x^2+y^2)^2=2ax^2
Прикрепленные файлы:
Обсуждение
28.04.2022, 17:25
общий
это ответ
Отвечал на задачу, написанную от руки. В прикрепленном файле другая, только что заметил. Какую нужно решать-незнаю
Прикрепленные файлы:
5
28.04.2022, 17:40
общий
28.04.2022, 17:42
это ответ
Здравствуйте, mavrin-mpo!
Примем, что в правой части заданного уравнения находится не
как Вы указали в исходном сообщении, а 
как указано в прикреплённом Вами изображении.
Выведем сначала уравнение заданной линии в полярной системе координат:
-- искомое уравнение. График этой линии при
показан в прикреплённом файле.
Вычислим площадь заданной фигуры, учитывая её симметрию относительно полярной оси и то обстоятельство, что половина фигуры получается при
:
(ед. площади)
(вычисление интеграла показано здесь: Ссылка >>).
Примем, что в правой части заданного уравнения находится не
как Вы указали в исходном сообщении, а как указано в прикреплённом Вами изображении.Выведем сначала уравнение заданной линии в полярной системе координат:
-- искомое уравнение. График этой линии при
показан в прикреплённом файле.Вычислим площадь заданной фигуры, учитывая её симметрию относительно полярной оси и то обстоятельство, что половина фигуры получается при
: (ед. площади)(вычисление интеграла показано здесь: Ссылка >>).
Прикрепленные файлы:
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
28.04.2022, 17:54
общий
mavrin-mpo Все правильно , задания одинаковые и вложеный фаил и от руки
Задания отличаются в правых частях заданных уравнений.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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