作者yyc2008 ()
看板Grad-ProbAsk
標題Re: [理工] [工數]-向量
時間Wed Dec 30 05:34:43 2009
※ 引述《abcxyz123 (阿里八八與四十大盜)》之銘言:
: → → →
: For a vector function F(x,y,z) = F1 i F2 j F3 k,it is known that
: → → →
: curf F=(- 4y^3 z^6 - 4x^6 y^2)i-4z^3j+(20x^4 y^2 z-3x^2 y^2)k
^^^^^^^
I think the question is -4x^5 y^2 not - 4x^6 y^2
: div F= 2x y^3 + 8x^5 y z - 6y^4 z^5
: Find the possible F1 F2 F3(Hint:There is no unique solution.The solution
: based on observation is recommended.)
Hint has already told you observation is recommended.
So you list all the partial derivatives of x, y, z and just observe them.
Then you can get a possible solution.
F = (-z^4+x^2y^3)i + (4x^5y^2z)j - y^4z^6 k
: 96台大土木的題目
: 想不出怎解 有請高手了..
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→ abcxyz123:不過我覺得是6耶 放大很多倍看過了 12/30 09:33
→ yyc2008:放大很多倍 我看到的就是5 六的頭有彎下來 五的沒有 12/30 14:11
推 abcxyz123:QQ嗯 謝了XD 12/30 15:40