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Консультация № 195175
08.04.2019, 15:58
0.00 руб.
09.04.2019, 19:07
0
2
1
Здравствуйте! Помогите , пжл, с решением:
Найти объем тела образованного вращением фигуры ограниченной между линиями y=sin x, y=0, x=0, x=[$960$] вокруг прямой y=-1
с помощью определенного интеграла.
Я ЗНАЮ КАК ЭТО ДЕЛАТЬ ВОКРУГ ОСИ ОХ И ОУ, НО ВОКРУГ ПРЯМОЙ У=-1 НЕ ЗНАЮ КАК.
Найти объем тела образованного вращением фигуры ограниченной между линиями y=sin x, y=0, x=0, x=[$960$] вокруг прямой y=-1
с помощью определенного интеграла.
Я ЗНАЮ КАК ЭТО ДЕЛАТЬ ВОКРУГ ОСИ ОХ И ОУ, НО ВОКРУГ ПРЯМОЙ У=-1 НЕ ЗНАЮ КАК.
Обсуждение
09.04.2019, 19:09
общий
Адресаты:
Попробуйте сдвинуть начало координат вдоль оси Oy вниз на 1 (чтобы прямая y=-1 стала осью Ox).
11.04.2019, 10:29
общий
это ответ
Здравствуйте, lana-gona!
Перейдём к новой системе координат, в которой ось абсцисс
смещена на одну единицу вниз относительно оси 
Тогда 
требуется вычислить объём тела, образованного вращением фигуры, ограниченной линиями 
вокруг оси 
Тогда, как я понимаю, в соответствии с известной формулой получим
(ед. объёма).
Перейдём к новой системе координат, в которой ось абсцисс
смещена на одну единицу вниз относительно оси Тогда требуется вычислить объём тела, образованного вращением фигуры, ограниченной линиями вокруг оси Тогда, как я понимаю, в соответствии с известной формулой получим
(ед. объёма).
5
спасибо
Об авторе:
Facta loquuntur.
Facta loquuntur.
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