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Консультация № 190868
12.04.2017, 15:52
0.00 руб.
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
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Обсуждение
13.04.2017, 06:34
общий
это ответ
Здравствуйте, abigail!
Если фигура ограничена линией, имеющей в полярных координатах уравнение [$961$] = [$961$]([$966$]), причём [$961$][$8805$]0 при [$966$][sub]1[/sub][$8804$][$966$][$8804$][$966$][sub]2[/sub], то площадь фигуры определяется формулой
В данном случае [$961$] = 2 sin 3[$966$] и [$961$][$8805$]0 при 0[$8804$][$966$][$8804$][$960$]/3, 2[$960$]/3[$8804$][$966$][$8804$][$960$] и 4[$960$]/3[$8804$][$966$][$8804$]5[$960$]/3, то есть фигура состоит из трёх одинаковых частей, и её площадь равна утроенной площади любой из них:
Если фигура ограничена линией, имеющей в полярных координатах уравнение [$961$] = [$961$]([$966$]), причём [$961$][$8805$]0 при [$966$][sub]1[/sub][$8804$][$966$][$8804$][$966$][sub]2[/sub], то площадь фигуры определяется формулой
В данном случае [$961$] = 2 sin 3[$966$] и [$961$][$8805$]0 при 0[$8804$][$966$][$8804$][$960$]/3, 2[$960$]/3[$8804$][$966$][$8804$][$960$] и 4[$960$]/3[$8804$][$966$][$8804$]5[$960$]/3, то есть фигура состоит из трёх одинаковых частей, и её площадь равна утроенной площади любой из них:
(ед. площади).
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