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Уважаемые эксперты! Пожалуйста, ответьте на вопрос: Вычислить с помошью тройного интеграла обьем тела .ограниченного указаными поверхностями. Сделать чертеж данного тела и его поекцию на плоскости х0y. z=0, z=2x, x+y=3, x=кореньy/2.
Вы просили "ответьте на вопрос", но я не вижу Вашего Вопроса. Вижу Условие задачи. Вы не написали, что именно Вам удалось сделать, и в чём надо помогать Вам? Начните с простого пункта "Сделать чертёж данного тела и его проекции на плоскости хOy". Вместо x+y = 3 начертите прямую y = 3 - x. Вместо x = [$8730$](y/2) начертите параболу y = 2*x2 . Изучите полезную учебную статью по Вашей теме "Тройные интегралы. Вычисление объёма тела" Ссылка . Дальше сами справитесь?
Какая "третья плоскость z" ? Старайтесь формулировать свои вопросы НЕдвусмысленно, чтобы Вас понимали правильно. Я могу только догадываться, что третья в Вашем списке плоскость - это уравнение x+y = 3 . Это действительно плоскость в 3х-мерном пространстве, и эта плоскость параллельна координатной оси Oz . Уравнению этой плоскости удовлетворяет ЛЮБОЕ значение z .
Мне думается, Вам полезно будет почитать учебную статью "Уравнение плоскости. Урок N1. Как составить уравнение плоскости? Взаимное расположени плоскостей. Задачи и Решения" Ссылка
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mavrin-mpo 
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