微積分 Identify the surface

2010-06-17 1:16 am
Identify the surface whose equation is as following:

z=4-r^2

回答 (1)

2010-06-17 2:29 am
✔ 最佳答案
z=4-r^2 is a elliptic-paraboloid surface in the cyclindrical coordinate system.
This surface is the same as z=4-x^2-y^2 in the Cartesian coordinate system,
and can be obtained by rotating the plane curve z=4-y^2 about the z-axis,
or by rotating the plane curve z=4-x^2 about the z-axis.


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