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Консультация № 198383
26.04.2020, 08:32
0.00 руб.
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Здравствуйте! У меня возникли сложности с таким вопросом:
Вычислить длину дуги кривой {█(x=10cos³t,&@y=10sin³t,&)┤ 0≤t≤π/2
Вычислить длину дуги кривой {█(x=10cos³t,&@y=10sin³t,&)┤ 0≤t≤π/2
Прикрепленные файлы:
Обсуждение
30.04.2020, 02:36
общий
Адресаты:
Я много часов старался отвечать на Ваши консультации. Однако от Вас ни Оценки, ни Спасибо за мои ответы в rfpro.ru/question/198368 и rfpro.ru/question/198382 .
В Вашей учётке "Последнее посещение: 27.04.2020… (2 сут. 08 час… назад) . Я подозреваю, Вам стали не нужны Ответы, и Вы ушли.
Я тоже ухожу с Ваших страниц успеть помочь тем, кто ещё ждёт помощи.
В Вашей учётке "Последнее посещение: 27.04.2020… (2 сут. 08 час… назад) . Я подозреваю, Вам стали не нужны Ответы, и Вы ушли.
Я тоже ухожу с Ваших страниц успеть помочь тем, кто ещё ждёт помощи.
01.05.2020, 03:55
общий
это ответ
Здравствуйте, master87!
Длина дуги кривой, заданной параметрически в виде x = x(t), y = y(t), определяется по формуле
где t[sub]1[/sub], t[sub]2[/sub] - пределы изменения параметра t.
В данном случае x = 10 cos[sup]3[/sup]t, x' = -30 cos[sup]2[/sup]t sin t, y = 10 sin[sup]3[/sup]t, x' = 30 sin[sup]2[/sup]t cos t и длина дуги для 0 [$8804$] t [$8804$] [$960$]/2 будет равна
Длина дуги кривой, заданной параметрически в виде x = x(t), y = y(t), определяется по формуле
где t[sub]1[/sub], t[sub]2[/sub] - пределы изменения параметра t.
В данном случае x = 10 cos[sup]3[/sup]t, x' = -30 cos[sup]2[/sup]t sin t, y = 10 sin[sup]3[/sup]t, x' = 30 sin[sup]2[/sup]t cos t и длина дуги для 0 [$8804$] t [$8804$] [$960$]/2 будет равна
5
Спасибо!
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