SURFACES Flashcards
(12 cards)
What is the formula for an ellipsoid and what the fuck does it look like?
(x/a)2+(y/b)2+(z/c)2=1
what does a hyperboilid one sheet look like and what is its formula?
(x/a)2+(y/b)2=(z/c)2+1
What does a hyperboloid of two sheet look like and what is its formula?
(x/a)2+(y/b)2=(z/c)2-1
What is the formula for elliptic cone and what does it look like?
(x/a)2+(y/b)2=(z/c)2
What does an elliptic parabolod look like and what is its formula?
z=(x/a)2+(y/b)2
What does a hyperbolic parabolid look like and what is its formula?
z=(x/a)2-(y/b)2
What do the horizontal and vertical traces look like for elliptic paraboloid?
The horizontal traces for elliptic paraboloid are ellipses and vertical traces are upward parabolas.
What do the horizontal and vertical traces look like for hyperbolic paraboiloids?
For the hyperbolic paraboiloids, the horizontal traces are hyperbolas, and the vertical traces are upward and downward parabolas.
What is the formula for right circular cylinder of radius r and what does it look like?
x2+y2=r2
What is the formula for elliptic cylinder and what does it look like?
(x/a)2+(y/b)2=1
What does hyperbolic cylinder look like and what is its formula?
(x/a)2-(y/b)2=1
What does parabolic cylinder look like and what is its formula?
y=ax2
