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Консультация № 202982
09.06.2022, 14:28
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Вычислить криволинейный интеграл первого рода от функции f (x, y)=4x - 2xy - 5y по контуру треугольника с вершинами O(0,0), A(1,5; 4,5), B(4,5; 1,5).
Вычислить криволинейный интеграл первого рода от функции f (x, y)=4x - 2xy - 5y по контуру треугольника с вершинами O(0,0), A(1,5; 4,5), B(4,5; 1,5).
Обсуждение
10.06.2022, 08:43
общий
Адресаты:
Начертите простенький чертёжик своего треугольника на плоскости YOY . Изучите полезную по Вашей теме учебную статью "Криволинейные интегралы. Понятие и примеры решений" Ссылка .
Выполняйте рекомендованные в статье шаги, и пусть Удача вознаградит Вас за труд!
Выполняйте рекомендованные в статье шаги, и пусть Удача вознаградит Вас за труд!
10.06.2022, 19:20
общий
это ответ
Здравствуйте, oligator.a.y!
Заданный треугольник показан в прикреплённом файле. Требуется вычислить интеграл
где 
-- контур заданного треугольника.
На отрезке
(вычисление интеграла показано здесь: Ссылка >>)
На отрезке
(вычисление интеграла показано здесь: Ссылка >>).
На отрезке
(вычисление интеграла показано здесь: Ссылка >>)
Значит,
Нужные Вам дальнейшие преобразования полученного ответа -- на Ваше усмотрение.
Заданный треугольник показан в прикреплённом файле. Требуется вычислить интеграл
где -- контур заданного треугольника.На отрезке
(вычисление интеграла показано здесь: Ссылка >>)
На отрезке
(вычисление интеграла показано здесь: Ссылка >>).
На отрезке
(вычисление интеграла показано здесь: Ссылка >>)
Значит,
Нужные Вам дальнейшие преобразования полученного ответа -- на Ваше усмотрение.
Прикрепленные файлы:
Об авторе:
Facta loquuntur.
Facta loquuntur.
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