Use the catalog of surfaces in your textbook to identify the surfaces given below.
(a)[math]:
(b)[math]:
(c)[math]:
Match the equations below with the pictures of the of the level surfaces they represent.
1.
[math]
2.
[math]
3.
[math]
4.
[math]
(You can drag the images to rotate them.)
Match the equations of the surface with the graphs below.
A
B
C
D
E
F
1.
[math]
2.
[math]
3.
[math]
4.
[math]
Find the equation of the hyperboloid of one sheet passing through the points[math]and[math]
[math]
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.[math]
b.[math]
c.[math]
d.[math]
e.[math]
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.
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