Re: [理工] [工數]-線積分
※ 引述《abcxyz123 (阿里八八與四十大盜)》之銘言：
: 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
: 雖然有詳解 不過看不太懂
: 有請高手幫忙了 謝謝!
-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
--
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◆ From: 118.167.144.150
※ 編輯: honestonly 來自: 118.167.144.150 (12/14 23:04)
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12/19 16:57, , 1F
12/19 16:57, 1F
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