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Консультация № 194830
28.02.2019, 17:58
0.00 руб.
0
1
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
с помощью двойных интегралов вычислить в полярных координатах площадь фигуры, ограниченной указанными линиями x^4 - y^4=(x^2 + y^2)^3. Спасибо всем неравнодушным!
с помощью двойных интегралов вычислить в полярных координатах площадь фигуры, ограниченной указанными линиями x^4 - y^4=(x^2 + y^2)^3. Спасибо всем неравнодушным!
Обсуждение
03.03.2019, 09:51
общий
это ответ
Здравствуйте, grinday2012!
Преобразуем заданное уравнение, учитывая, что
Далее действуем аналогично указанному ниже (задача 5), учитывая, что по заданию требуется использовать двойной интеграл:
(Заодно заметим, что в книге допущена ошибка: формула лемнискаты должна выглядеть так:
)
Получим
(ед. площади).
Преобразуем заданное уравнение, учитывая, что
Далее действуем аналогично указанному ниже (задача 5), учитывая, что по заданию требуется использовать двойной интеграл:
(Заодно заметим, что в книге допущена ошибка: формула лемнискаты должна выглядеть так:
)Получим
(ед. площади).
5
Спасибо большое!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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