exam 4 Flashcards
1
Q
dy/dx = ?
A
dy/dt / dx/dt
2
Q
d^2y/dx^2 = ?
A
dy’/dt / dx/dt
3
Q
cos^2(x) = ?
A
1+cos(2x) / 2
4
Q
sin^2(x) = ?
A
1-cos(2x) / 2
5
Q
arc length in cartesian
A
∫√(dx/dt)^2 + (dy/dt)^2 dt
6
Q
area in cartesian
A
∫y dx
7
Q
how to find cartesian points
A
x = r cosθ
y = r sinθ
8
Q
how to find polar coordinates
A
tanθ = y/x
r = √(x^2 + y^2)
9
Q
area in polar
A
1/2 ∫r^2 dθ
10
Q
cos(2θ) = ?
sin(2θ) = ?
A
cos^2θ - sin^2θ
2sinθcosθ
11
Q
arc length in polar
A
∫√r^2 + (dr/dθ)^2 dθ
