# 11.6

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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?
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 Updated: 2013-02-17 06:17:45 Tags: calc1 Folders: Description: calc1 Show Answers: