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Задать вопрос экспертам

Консультация № 84848

30.04.2007, 17:19

0.00 руб.

0 1 1

Образование

Здравствуйте эксперты, помогите пожалуйста:
f(x,y,z)=2(x^2+y^2)-z^2; L=ABC AB x:=2cost, y=2sint, z=-3, -pi/4=<t=<pi/4;
C(0;2-1);
Надо найти интеграл f(x,y,z) вдоль прямой L

Обсуждение

Неизвестный

30.04.2007, 18:41

общий

это ответ

Здравствуйте, Tribak!
`int_{-pi/4}^{pi/4}(2(4cos^2t+4sin^2t)-9)sqrt(4sin^2t+4cos^2t+9)dt=`

`=int_{-pi/4}^{pi/4}(-sqrt(13))dt=-sqrt(13)*pi/2`
Решение находится по адресу:
http://www.mathauto.ru/temp/temp.htm
Правда не пойму, зачем точка С дана

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