The flashcards below were created by user
NateGatsby
on FreezingBlue Flashcards.
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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.
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What contains 2 ellipses and a circle?
an ellipsoid
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What contains 2 lines and a parabola?
A paraboloid
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what contains 3 circles?
a sphere
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What contains 2 criss crosses and a point
elliptic cone
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What contains an ellipse and 2 hyperbolas?
hyperboloid of one sheet
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Give an example of a hyperboloid of one sheet
a nuclear power plant
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What is the relationship of an elliptic cone as the z increases?
The radius begins to expand
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What contains no trace and 2 hyperbolas?
a hyperboloid of two sheets
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what contains a point, parabola and hyperbola?
elliptic paraboloid
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What contains a point, parabola and upside down parabola?
hyperbolic paraboloid
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x + 3y + z = 4
- xy: x +3y = 4
- xz: x +z = 4
- zy: 3y + z = 4
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x2 + y2 + z2 = 16
what is the shape?
- xy: x2 + y2 = 16 circle
- xz: x2 + z2 = 16 circle
- zy: y2 + z2 = 16 circle
sphere
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x2 / 3.32 + y2 / 5.32 + z2 / 3.32 = 1
What is the shape?
Ellipsoid
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z = y2
What is the shape?
Paraboloid
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x2 / 16 + y2/16 - z2/4 = 0
What is the shape?
Elliptic Cone
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x2 / 4 + y2 / 9 - z2 / 16 = 1
What is the shape?
Hyperboloid of one sheet
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z2 / 9 - x2 / 0 - y2 / 25 = 1
What is the shape?
Hyperboloid of 2 sheets
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z = x2 / 4 + y2 / 25
What is the shape?
Elliptic paraboloid
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z = x2 / 9 - y2 / 16
What is the shape?
hyperbolic paraboloid
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