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Calc 3 10.6

 

<== Calculus 3
Number Question Answer
See the work
1. Match the surfaces with the appropriate descriptions.

 

 1. z = y^{2} - 2x^{2}
 2. z = 2x + 3y
 3. z = 2x^{2} + 3y^{2}
 4. z = x^{2}
 5. x^{2} + 2y^{2} + 3z^{2} = 1
 6. x^{2} + y^{2} = 5
 7. z = 4

 


A. circular cylinder
B. horizontal plane
C. nonhorizontal plane
D. ellipsoid
E. parabolic cylinder
F. hyperbolic paraboloid
G. elliptic paraboloid

1. F
2. C
3. G
4. E
5. D
6. A
7. B

The work
2. Match the equation with its graph labeled A-H. You may click on any image to get a larger view.

A.     B. 
C.     D. 
E.     F. 

1.  - x^2 + y^2 - z^2 = 1
2.  y^2 = x^2 + 2 z^2
3.  9 x^2 + 4 y^2 + z^2 = 1
4.  x^2 + 4 y^2 + 9 z^2 =1
5.  x^2 - y^2 +z^2 = 1
6.  x^2 + 2  z^2  =1
Answer The work