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Консультация № 200540
31.03.2021, 08:28
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос: найдите длину дуги кривой y^2=(x-1)^3 от точки А (2; -1) до точки В (5; -8).
Обсуждение
31.03.2021, 11:58
общий
это ответ
Здравствуйте, vladislav.makeev88!
Рассматриваемая кривая является полукубической параболой, график которой состоит из двух ветвей, симметричных относительно оси абсцисс. Заданные точки принадлежат нижней ветви параболы (рисунок в прикреплённом файле).
Имеем
(ед. длины).
Литература
Письменный Д. Т. Конспект лекций по высшей математике: [в 2 ч.]. Ч. 1. -- М.: Айрис-пресс, 2007. -- 288 с.
Рассматриваемая кривая является полукубической параболой, график которой состоит из двух ветвей, симметричных относительно оси абсцисс. Заданные точки принадлежат нижней ветви параболы (рисунок в прикреплённом файле).
Имеем
(ед. длины).Литература
Письменный Д. Т. Конспект лекций по высшей математике: [в 2 ч.]. Ч. 1. -- М.: Айрис-пресс, 2007. -- 288 с.
Прикрепленные файлы:
5
спасибо большое!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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