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Консультация № 202672
25.04.2022, 19:09
0.00 руб.
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1
Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Вычислить площадь фигуры, ограниченной линиями: [$961$]= 2(1 - cos [$966$]).
Сделать чертёж.
Вычислить площадь фигуры, ограниченной линиями: [$961$]= 2(1 - cos [$966$]).
Сделать чертёж.
Обсуждение
26.04.2022, 19:09
общий
это ответ
Здравствуйте, Ира!
Нужный Вам график показан в прикреплённом файле. На нём изображена линия, которую называют кардиоидой: Ссылка >>. Вычислим площадь фигуры, ограниченной этой линией. Поскольку кардиоида симметрична относительно полярной оси, постольку можно определить половину её площади, когда полярный угол
изменяется от нуля до 
и полученный результат удвоить. Следовательно, искомая площадь составляет
(ед. площади).
Нужный Вам график показан в прикреплённом файле. На нём изображена линия, которую называют кардиоидой: Ссылка >>. Вычислим площадь фигуры, ограниченной этой линией. Поскольку кардиоида симметрична относительно полярной оси, постольку можно определить половину её площади, когда полярный угол
изменяется от нуля до и полученный результат удвоить. Следовательно, искомая площадь составляет (ед. площади).
Прикрепленные файлы:
5
Благодарю за оказанную помощь! Спасибо, что выделили время для решения задачи
Об авторе:
Facta loquuntur.
Facta loquuntur.
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