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Консультация № 197438
15.12.2019, 05:26
0.00 руб.
20.12.2019, 03:37
0
1
1
Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
С помощью двойных интегралов вычислить объём тела, ограниченного поверхностями:
z = x2+y2; y=x2; y=1; z=0.
С помощью двойных интегралов вычислить объём тела, ограниченного поверхностями:
z = x2+y2; y=x2; y=1; z=0.
Обсуждение
20.12.2019, 03:31
общий
это ответ
Здравствуйте, Smurf!
Объём тела, ограниченного поверхностями z = z[sub]1[/sub](x,y), z = z[sub]2[/sub](x,y), равен значению двойного интеграла
где D - плоская фигура, лежащая в основании тела. В данном случае z[sub]1[/sub] = 0, z[sub]2[/sub] = x[sup]2[/sup]+y[sup]2[/sup], D = {-1[$8804$]x[$8804$]1, x[sup]2[/sup][$8804$]y[$8804$]1} и объём тела будет равен
Объём тела, ограниченного поверхностями z = z[sub]1[/sub](x,y), z = z[sub]2[/sub](x,y), равен значению двойного интеграла
где D - плоская фигура, лежащая в основании тела. В данном случае z[sub]1[/sub] = 0, z[sub]2[/sub] = x[sup]2[/sup]+y[sup]2[/sup], D = {-1[$8804$]x[$8804$]1, x[sup]2[/sup][$8804$]y[$8804$]1} и объём тела будет равен
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