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Консультация № 177738
08.04.2010, 01:16
0.00 руб.
0
1
1
Здравствуйте!
помогите ,пожалуйста.
Вычислить криволинейный интеграл по кривой L. Сделать чертеж.
∫(x+y)*dx+(x-y)*dy L - отрезок прямой AB от точки A(0;0) до точки B(2;3)
помогите ,пожалуйста.
Вычислить криволинейный интеграл по кривой L. Сделать чертеж.
∫(x+y)*dx+(x-y)*dy L - отрезок прямой AB от точки A(0;0) до точки B(2;3)
Обсуждение
Неизвестный
08.04.2010, 03:05
общий
это ответ
Здравствуйте, Sup.star.
Найдем уравнение прямой, проходящей через точки A и B
(x-0)/(2-0)=(y-0)/(3-0)
y=(3/2)*x
x меняется от 0 до 2
[$8747$]L(x+y)dx+(x-y)dy=[$8747$]02((x+(3/2)*x)+(x-(3/2)*x)*y')dx=[$8747$]02((x+(3/2)*x)+(x-(3/2)*x)*3/2')dx=[$8747$]02((7/4)*x)dx=(7/4)*(x2/2)02=7/2
Ответ: 7/2 или 3,5
Найдем уравнение прямой, проходящей через точки A и B
(x-0)/(2-0)=(y-0)/(3-0)
y=(3/2)*x
x меняется от 0 до 2
[$8747$]L(x+y)dx+(x-y)dy=[$8747$]02((x+(3/2)*x)+(x-(3/2)*x)*y')dx=[$8747$]02((x+(3/2)*x)+(x-(3/2)*x)*3/2')dx=[$8747$]02((7/4)*x)dx=(7/4)*(x2/2)02=7/2
Ответ: 7/2 или 3,5
Форма ответа
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