作者honestonly (嗯..)
看板Grad-ProbAsk
标题Re: [理工] [工数]-线积分
时间Mon Dec 14 23:00:49 2009
※ 引述《abcxyz123 (阿里八八与四十大盗)》之铭言：
: Let C be a path on the paraboloid x^2+y^2-z=0 from the initial point
: (1,0,1) to the terminal point (0,1,1);otherwise,C is arbitary[89台大土木]
: (a)What is the value of the line integral
: -ydx + xdy +zdz
: ∫ _________________
: C along the path C ? Is it independent of path ?
: x^2+y^2
: (b) Why?(Prove your answer in (a)
: 解答(a)=π/2
: 虽然有详解 不过看不太懂
: 有请高手帮忙了 谢谢!
-1 y -1 y │(0,1,1) π π
∫ d(tan ---) + dz = tan --- + z │ = (---- -1) - (0-1) = ----
C x x │(1,0,1) 2 2
--
※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 118.167.144.150
※ 编辑: honestonly 来自: 118.167.144.150 (12/14 23:04)
1F：推 abcxyz123:懂了 谢 12/19 16:57