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Консультация № 195177
08.04.2019, 16:03
0.00 руб.
09.04.2019, 19:03
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
С помощью двойного интеграла вычислить обьем тела, ограниченного поверхностями: параболоидом вращения z=x2+y2 и плоскостями z=0, y=1, y=2x, y=6-x
С помощью двойного интеграла вычислить обьем тела, ограниченного поверхностями: параболоидом вращения z=x2+y2 и плоскостями z=0, y=1, y=2x, y=6-x
Обсуждение
12.04.2019, 23:06
общий
это ответ
Здравствуйте, lana-gona!
Рисунок тела, объём которого нужно вычислить, показан ниже.
Рисунок области интегрирования -- треугольника ABC -- показан ниже.
Из рисунка видно, что при 1[$8804$]y[$8804$]4 выполняется двойное неравенство y/2[$8804$]x[$8804$]6-y. Тогда, в соответствии с известной формулой для вычисления объёма, имеем
(ед. объёма).
Рисунок тела, объём которого нужно вычислить, показан ниже.
Рисунок области интегрирования -- треугольника ABC -- показан ниже.
Из рисунка видно, что при 1[$8804$]y[$8804$]4 выполняется двойное неравенство y/2[$8804$]x[$8804$]6-y. Тогда, в соответствии с известной формулой для вычисления объёма, имеем
(ед. объёма).
5
????
Об авторе:
Facta loquuntur.
Facta loquuntur.
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