设z=f(x,y)是由方程x^2+y^2+Z^2-4z=0所确定的二元函数,求dz

2024-12-10 06:28:01
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回答1:

x^2+y^2+z^2-4z=0
2xdx+2ydy+2zdz-4dz=0
(z-2)dz = -(xdx+ydy)
dz =-(xdx+ydy)/(z-2)