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Decide whether the level surfaces of each function are concentric circular cylinders, concentric spheres, cones, elliptical paraboloids, hyperbolic paraboloids, hyperboloids of one sheet, hyperboloids of two sheets, parabolic cylinders, or parallel planes.

1. $f(x,y,z) = 8x^2 + y^2 - z$

2. $f(x,y,z) = 9y^2 - 6 x^2 - z$

3. $f(x,y,z) = e^{-(x^2+y^2+z^2)}$

4. $f(x,y,z) = 3 x^2 - y$

5. $f(x,y,z) = \sin( \sqrt{3(x^2+y^2+z^2)} )$

6. $f(x,y,z) = \cos( 3x + y + z)$

7. $f(x,y,z) = x + y - 6 z$

8. $f(x,y,z) = \ln( \sqrt{y^2+z^2} )$

You can earn 10% partial credit for 2 - 4 correct answers, 60% partial credit for 5 - 6 correct answers, and 80% partial credit for 7 correct answers.