haha
Lv 7
haha asked in 科學數學 · 1 decade ago

微積分 Identify the surface

Identify the surface whose equation is as following:

z=4-r^2

1 Answer

Rating
  • 天助
    Lv 7
    1 decade ago
    Favorite Answer

    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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