Chapters 12-13 Flashcards
1
Q
Paraboloids
A
Elliptic z=(x/a)^2+(y/a)^2
Hyperbolic z=(x/a)^2 -(x/b)^2
2
Q
Elliptic cone
A
(x/a)^2+(y/b)^2=(z/c)^2
3
Q
Hyperboloids
A
One sheet: (x/a)^2 +(y/b)^2 =(z/c)^2 +1
Two sheets: (x/a)^2 + (y/b)^2 =(z/c)^2 -1
4
Q
Ellipsoid
A
(x/a)^2+(y/b)^2 +(z/c)^2 =1
5
Q
Elliptic cylinder
A
(x/a)^2+ (y/b)^2=1
6
Q
Hyperbolic cylinder
A
(x/a)^2 - (y/b)^2 =1
7
Q
Parabolic cylinder
A
y=ax^2
8
Q
Unit vector
A
[V/||V||]
Used to indicate direction
Use e_v to scale a nonzero vector v= to obtain a unit vector pointing in the same direction.
*******[1/||V||]xV
9
Q
Cos(0)=?
A
1
10
Q
Sin(0)=?
A
0
11
Q
Cos(pi/6)=?
A
Radical(3)/2
12
Q
Sin(pi/6)=?
A
1/2
13
Q
Cos(pi/4)=?
A
1/radical(2)
14
Q
Sin(pi/4)=?
A
1/radical(2)
15
Q
Cos(pi/3)=?
A
1/2
