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11.6
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How do you find the trace for a shape?
set one variable to zero and get the equation containing the other 2.
What contains 2 ellipses and a circle?
an ellipsoid
What contains 2 lines and a parabola?
A paraboloid
what contains 3 circles?
a sphere
What contains 2 criss crosses and a point
elliptic cone
What contains an ellipse and 2 hyperbolas?
hyperboloid of one sheet
Give an example of a hyperboloid of one sheet
a nuclear power plant
What is the relationship of an elliptic cone as the z increases?
The radius begins to expand
What contains no trace and 2 hyperbolas?
a hyperboloid of two sheets
what contains a point, parabola and hyperbola?
elliptic paraboloid
What contains a point, parabola and upside down parabola?
hyperbolic paraboloid
x + 3y + z = 4
xy
: x +3y = 4
xz
: x +z = 4
zy
: 3y + z = 4
x
^{2}
+ y
^{2}
+ z
^{2}
= 16
what is the shape?
xy: x
^{2}
+ y
^{2}
= 16 circle
xz: x
^{2}
+ z
^{2}
= 16 circle
zy: y
^{2}
+ z
^{2}
= 16 circle
sphere
x2 / 3.3
^{2}
+ y2 / 5.3
^{2}
+ z2 / 3.3
^{2}
= 1
What is the shape?
Ellipsoid
z = y
^{2 }
What is the shape?
Paraboloid
x
^{2}
/ 16 + y
^{2}
/16 - z
^{2}
/4 = 0
What is the shape?
Elliptic Cone
x
^{2}
/ 4 + y
^{2}
/ 9 - z
^{2}
/ 16 = 1
What is the shape?
Hyperboloid of one sheet
z
^{2}
/ 9 - x
^{2}
/ 0 - y
^{2}
/ 25 = 1
What is the shape?
Hyperboloid of 2 sheets
z = x
^{2}
/ 4 + y
^{2}
/ 25
What is the shape?
Elliptic paraboloid
z = x
^{2}
/ 9 - y
^{2}
/ 16
What is the shape?
hyperbolic paraboloid
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Author
NateGatsby
ID
201110
Card Set
11.6
Description
calc1
Updated
2013-02-17T06:17:45Z
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