This is another Question, Match the surfaces with the appropriate description: h

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This is another Question,

Match the surfaces with the appropriate description: horizontal plane, non-horizontal plane, circular cylinder, parabolic cylinder, ellipsoid, elliptic paraboloid, hyperbolic paraboloid, cone, hyperboloid of one sheet, or hyperboloid of two sheets.

Note: Make sure that you can sketch each of these surfaces, paying special attention to how it is oriented along each axis.

Match the surfaces with the appropriate description: horizontal plane, non-horizontal plane, circular cylinder, parabolic cylinder, ellipsoid, elliptic paraboloid, hyperbolic paraboloid, cone, hyperboloid of one sheet, or hyperboloid of two sheets. Make sure that you can sketch each of these surfaces, paying special attention to how it is oriented along each axis. z = y2 - 5x2 5z2 = 5x2 + 8y2 5x2 + 8y2 + 5z2 = 5 z = 5x2 y = 8z2 y2 = x2 + z2 x = 5y2 + 5z2 z = 8x + 5y y2 + z2 = 5 z = 8x2 + 5y2

Explanation / Answer

1) hyperbolic paraboloid

2) cone

3)Ellipsoid

4)parabola

5) parabola

6) cone

7) elliptic paraboloid

8)plane

9) cylinder

10) elliptic paraboloid

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