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工程數學梯度和散度題目求解

Oct 25th 2013, 09:53

1.f=cosxcoshy p:[(1/2)π,ln2] ans:(-1.25,0)
2.t=x/x^2+y^2 p:(4,0) ans:▽t=(x^2+y^2)^-2 [y^2-x^2,-2xy] -▽t=[1/16,0]
3.[e^2x cos2y,e^2x sin2y,5e^2z] ans:4e^2x cos2y+10e^2z
4.(x^2+y^2+z^2)^-3/2 [x,y,z] ans:div=0
5.[sinxy,sinxy,zcosxy] ans:(y+x+1)cosxy
6.f=z-4√x^2+y^2 ans:-4/√x^2+y^2
7.f=arctan(y/x) ans:0

前2題梯度後5題散度

有些算出來怪怪的
所以上來發問一下

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