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Консультация № 193413
20.06.2018, 15:21
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Здравствуйте, уважаемые эксперты! Прошу указать мою ошибку, площадь получил отрицательную но такое не может быть
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Обсуждение
20.06.2018, 21:12
общий
это ответ
Здравствуйте, lana-gona!
По-моему, Вам нужно вычислить удвоенную площадь "лепестка", расположенного в первой четверти координатной плоскости. Площадь лепестка можно рассматривать как сумму площадей двух фигур:
- ограниченной снизу дугой кардиоиды и сверху -- лучом, проходящим через начало полярной системы координат и точку пересечения дуг кардиоиды и окружности. При этом
- ограниченной снизу лучом, проходящим через начало полярной системы координат и точку пересечения дуг кардиоиды и окружности, и сверху дугой окружности. При этом
Следовательно, площадь указанного лепестка равна
а искомая площадь равна
У меня получилось, что
(ед. площади).
По-моему, Вам нужно вычислить удвоенную площадь "лепестка", расположенного в первой четверти координатной плоскости. Площадь лепестка можно рассматривать как сумму площадей двух фигур:
- ограниченной снизу дугой кардиоиды и сверху -- лучом, проходящим через начало полярной системы координат и точку пересечения дуг кардиоиды и окружности. При этом
- ограниченной снизу лучом, проходящим через начало полярной системы координат и точку пересечения дуг кардиоиды и окружности, и сверху дугой окружности. При этом
Следовательно, площадь указанного лепестка равна
а искомая площадь равна
У меня получилось, что
(ед. площади).
Об авторе:
Facta loquuntur.
Facta loquuntur.
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