Find all level sets of the function:

f(x,y,z) = x^2 + y^2 - z^2

Help please!

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- Feb 17th 2009, 10:22 AMDrumiesterCalc 3, finding level sets of a function
Find all level sets of the function:

f(x,y,z) = x^2 + y^2 - z^2

Help please! - Feb 18th 2009, 10:29 AMPedro²
If is a fixed number, the level sets of at level consists of all points in which are solution of the equation . If the level surface is a cone centered at the origin opening along the z axis. If , then the level surface is a hyperboloid of one sheet. Finally, if , the level surface is a hyperboloid of two sheets.