Calc things to remember Flashcards
(8 cards)
1
Q
What Surface Occurs when AC-B^2>0
A
Paraboloid
2
Q
What Surface occurs when AC-B^2<0
A
Hyperbolic paraboloid
3
Q
What Surface Occurs when AC-B^2=0
A
Flat surface or parabolic cylinder
4
Q
What formula do we use to calculate the discriminant?
A
D=fxxfyy-fxy^2
5
Q
What type of critical point do we have when D>0?
A
If fxx>0, we have a local minimum
If fxx<0, we have a local maximum
6
Q
What type of critical point do we have if D<0?
A
A saddle point
7
Q
What type of critical point do we have if D=0?
A
Inconclusive/flat
8
Q
What is the difference in integration in polar coordinates?
A
dA=rdrd(theta)
