Quadratic Surfaces
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2017-10-18 04:14
Section
| Question | Answer |
|---|---|
| Any two variables (the third undefined) | Cylinder |
| 3 Positive Coefficients (x2+y2+z2 = 4) | Ellipsoid |
| One Negative Coefficient (x2+y2-z2 = 5) | Hyperboloid (1 Sheet - Open on opposite signed var) |
| Two Negative Coefficients (x2-y2-z2 = 5) | Hyperboloid (2 Sheets - Open on opposite signed var) |
| 1-2 negative coefficient, var = 0 (x2+y2-z2 = 0) | Cone |
| x2+y2=z -- x/y have same sign | Elliptic Paraboloid (Opens on linear term +=up, -=down) |
| x2-y2=z -- x/y have opposite sign | Hyperbolic Paraboloid (Think of PRINGLES) |
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