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Консультация № 186275
01.06.2012, 12:17
91.28 руб.
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Решите пожалуйста мои задания ) Просьба ответ писать более развернуто :)
Решите пожалуйста мои задания ) Просьба ответ писать более развернуто :)
Обсуждение
01.06.2012, 12:44
общий
это ответ
Здравствуйте, Посетитель - 393715!
2. Примем
за параметр, который изменяется от нуля (абсцисса точки O) до 
(абсцисса точки A). Тогда при 
получим
С уважением.
2. Примем
за параметр, который изменяется от нуля (абсцисса точки O) до (абсцисса точки A). Тогда при получимС уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
01.06.2012, 18:48
общий
В условии первой задачи проверьте уравнение поверхности S. Там задано уравнение плоскости, проходящей через начало координат.
01.06.2012, 20:25
общий
В качестве примера решения предлагаю задание с тем же уравнением поверхности и ограничениями x[$8805$]0,y[$8805$]0,z[$8805$]-1, причем верхнюю сторону этой части плоскости.
Если Вас это устраивает, то оформлю как ответ.
Если Вас это устраивает, то оформлю как ответ.
01.06.2012, 20:38
общий
это ответ
Здравствуйте, Посетитель - 393715!
1.
От поверхностного интеграла перейдем к двойному интегралу по формуле
где Dyz - проекция поверхности S на плоскость Оyz.
Для верхней стороны части заданной плоскости вектор нормали образует острый угол с осью Ох. Поэтому в интеграле будем брать знак +.
Dyz в данном случае представляет собой треугольник, ограниченный прямыми у=0, z=-у, z=-1.
1.
От поверхностного интеграла перейдем к двойному интегралу по формуле
где Dyz - проекция поверхности S на плоскость Оyz.
Для верхней стороны части заданной плоскости вектор нормали образует острый угол с осью Ох. Поэтому в интеграле будем брать знак +.
Dyz в данном случае представляет собой треугольник, ограниченный прямыми у=0, z=-у, z=-1.
Форма ответа
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