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11.6

  1. How do you find the trace for a shape?
    set one variable to zero and get the equation containing the other 2.
  2. What contains 2 ellipses and a circle?
    an ellipsoid
  3. What contains 2 lines and a parabola?
    A paraboloid
  4. what contains 3 circles?
    a sphere
  5. What contains 2 criss crosses and a point
    elliptic cone
  6. What contains an ellipse and 2 hyperbolas?
    hyperboloid of one sheet
  7. Give an example of a hyperboloid of one sheet
    a nuclear power plant
  8. What is the relationship of an elliptic cone as the z increases?
    The radius begins to expand
  9. What contains no trace and 2 hyperbolas?
    a hyperboloid of two sheets
  10. what contains a point, parabola and hyperbola?
    elliptic paraboloid
  11. What contains a point, parabola and upside down parabola?
    hyperbolic paraboloid
  12. x + 3y + z = 4
    • xy: x +3y = 4
    • xz: x +z = 4
    • zy: 3y + z = 4
  13. x2 + y2 + z2 = 16

    what is the shape?
    • xy: x2 + y2  = 16   circle
    • xz: x2 +  z2 = 16   circle
    • zy:  y2 + z2 = 16   circle

    sphere
  14. x2 / 3.32   +   y2 / 5.32   +   z2 / 3.32   = 1

    What is the shape?
    Ellipsoid
  15. z = y2

    What is the shape?
    Paraboloid
  16. x2 / 16    +    y2/16   -   z2/4 = 0

    What is the shape?
    Elliptic Cone
  17. x2 / 4   +   y2 / 9   -   z2 / 16    =   1

    What is the shape?
    Hyperboloid of one sheet
  18. z2 / 9  -  x2 / 0  -  y2 / 25  =  1

    What is the shape?
    Hyperboloid of 2 sheets
  19. z = x2 / 4  +  y2 / 25

    What is the shape?
    Elliptic paraboloid
  20. z  =  x2 / 9  -  y2 / 16

    What is the shape?
    hyperbolic paraboloid

Author
NateGatsby
ID
201110
Card Set
11.6
Description
calc1
Updated

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