At least one of the answers above is NOT correct.
Identify the following surfaces as an elliptical paraboloid, hyperbolic paraboloid, a
hyperboloid of one sheet, a hyperboloid of two sheets, a cone, a circular cylinder, an
elliptical cylinder, or a parabolic cylinder, and identify the axis of symmetry as the x-
axis, the y-axis, or the z-axis.
a. hyperbolic paraboloid along the z-axis $-7x^2 + 3y^2 - z^2 = 0$
b. hyperboloid of two sheets along the z-axis $-2x^2 - 8y^2 + z^2 = 1$
c. hyperboloid of one sheet along the y-axis $3y^2 - 6x^2 - 2z^2 + 1 = 0$
d. circular cylinder along the x-axis $6y^2 + 6z^2 = 1$
e. parabolic cylinder along the z-axis $6x^2 + 9y^2 - z = 0$
Note: 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 - 9 correct answers.
