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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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