Quadratic Surfaces Calc 3

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1

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x²/ a²+ y²/ b²+ z²/ c² = 1

Ellipsoid

2

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z = x²/ a²+ y²/ b²

Paraboloid

3

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x²/ a²+ y²/ b²- z²/ c² = 1

Hyperboloid of one sheet

4

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x²/ a²+ y²/ b²= z²/ c²

Elliptic Cone

5

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-x²/ a²- y²/ b²+ z²/ c² = 1

hyperboloid of two sheets

6

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x²/ a²-y²/ b² = z

Hyperbolic paraboloid

7

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x²/ a²+y²/ b² =1

Elliptic cylinder