Quiz Flashcards
1
Q
Green’s Theorem
A
∫P dx + Q dy = ∫Q’x - P’y
2
Q
Polar
A
[r] dr dθ
3
Q
Cylinder
A
[r] dr dz dθ
4
Q
Sphere
A
[r^2 sinΦ] dr dΦ dθ
5
Q
Conservative
A
A B C
x y z
backwards = 0
6
Q
Tangent Plane Approximation
A
w - w0 = f’x(x - x0) + f’y(y - y0) + f’z(z - z0)
enter (a,b) into f’
7
Q
Line Integral
A
f(c,d) - f(a,b)
8
Q
D > 0, fxx < 0
A
Local Max
9
Q
D > 0, fxx > 0
A
Local Min
10
Q
∇f
A
(f’xi + f’yj + f’zk)
11
Q
∫F*dr
A
Dot Product of F and velocity
12
Q
Parallel
A
proj(a)b = ([a * b] / |a|^2) (a)
13
Q
Orthogonal
A
b - proj(a)b
14
Q
∇f = F
A
∫ (f’x) dx = ∫ (x) dx shit
