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Консультация № 199926
20.12.2020, 12:53
0.00 руб.
0
4
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Помогите пожалуйста
Вычислить объём тела, ограниченного поверхностями 6/П(1 - x^2 - y^2) , z=0
Помогите пожалуйста
Вычислить объём тела, ограниченного поверхностями 6/П(1 - x^2 - y^2) , z=0
Обсуждение
24.12.2020, 16:04
общий
Адресаты:
Я бы решил Вашу задачу. Но Вы не поблагодарили за помощь в Вашей консультации rfpro.ru/question/199924 (ни Оценки, ни Спасибо). Я вписал Вас в Чёрный список неблагодарных.
24.12.2020, 16:13
общий
[q=259041][/q]извините у меня не пришло оповещение что кто то решил задачу прошу прошения
25.12.2020, 03:49
общий
это ответ
Здравствуйте, zhalykov.2015!
Тело представляет собой часть области внутри параболоида вращения x[sup]2[/sup] + y[sup]2[/sup] = 1 - [$960$]z/6, ограниченную снизу плоскостью z = 0. Для удобства расчётов перейдём к цилиндрическим координатам по формулам x = r cos [$966$], y = r sin [$966$], z = z, dV = r d[$966$] dr dz. Тогда для данного тела имеем 0 [$8804$] [$966$] [$8804$] 2[$960$], 0 [$8804$] r [$8804$] 1, 0 [$8804$] z [$8804$] 6/[$960$](1 - r[sup]2[/sup]), и его объём будет равен
Тело представляет собой часть области внутри параболоида вращения x[sup]2[/sup] + y[sup]2[/sup] = 1 - [$960$]z/6, ограниченную снизу плоскостью z = 0. Для удобства расчётов перейдём к цилиндрическим координатам по формулам x = r cos [$966$], y = r sin [$966$], z = z, dV = r d[$966$] dr dz. Тогда для данного тела имеем 0 [$8804$] [$966$] [$8804$] 2[$960$], 0 [$8804$] r [$8804$] 1, 0 [$8804$] z [$8804$] 6/[$960$](1 - r[sup]2[/sup]), и его объём будет равен
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