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Консультация № 202913
23.05.2022, 16:51
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Сделать чертеж области, ограниченной заданными линиями.
Вычислить площадь полученной фигуры
Сделать чертеж области, ограниченной заданными линиями.
Вычислить площадь полученной фигуры
Прикрепленные файлы:
Обсуждение
24.05.2022, 20:37
общий
это ответ
Здравствуйте, Anna!
Используя современные технологии графического изображения информации, воспользуемся построенным на Интернет-ресурсе графиком с доработкой. На этом графике требуемая область обозначена серым цветом (показано в прикреплённом файле). Чтобы уточнить пределы интегрирования, которые нужно знать для вычисления искомой площади, вычислим ординаты точек пересечения заданных линий. Получим
Из графика видно, что при изменении переменной
от 
до 
(в сторону возрастания) переменная 
изменяется от 
до 
(тоже в сторону возрастания). Поэтому искомая площадь составляет
(ед. площади)
(вычисление интеграла показано здесь: Ссылка >>).
Используя современные технологии графического изображения информации, воспользуемся построенным на Интернет-ресурсе графиком с доработкой. На этом графике требуемая область обозначена серым цветом (показано в прикреплённом файле). Чтобы уточнить пределы интегрирования, которые нужно знать для вычисления искомой площади, вычислим ординаты точек пересечения заданных линий. Получим
Из графика видно, что при изменении переменной
от до (в сторону возрастания) переменная изменяется от до (тоже в сторону возрастания). Поэтому искомая площадь составляет (ед. площади)(вычисление интеграла показано здесь: Ссылка >>).
Прикрепленные файлы:
Об авторе:
Facta loquuntur.
Facta loquuntur.
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