Module 5 Flashcards
1
Q
x = ?
A
x = rcos(theta)
2
Q
y = ?
A
y = rsin(theta)
3
Q
x axis sym ?
y axis sym ?
origin sym ?
A
-theta
Pi-theta
Pi+theta
4
Q
r^2 = ?
A
x^2 +y^2
5
Q
Derivatives for slope
A
1stDeriv×2nd+ 1st×2ndDeriv
6
Q
Cos tangent horizontal at 0 = ?
sin tangent vertical at 0 = ?
Take sin/cos theta from dy/dx
A
theta = pi/2 + npi
7
Q
Sin
Cos
A
Sin usually reflective over y
Cos usually reflective over x
8
Q
Parametric Area
A
A = integral a to b
g(t)×f´(t)
9
Q
Polar Area
A
Integral a to b
1/2r^2d(theta)
10
Q
Cartesian Length
A
Integral a to b
Sqrroot(1+(dy/dx)^2)
11
Q
Parametric Length
A
Integral a to b
sqrroot((dx/dt)^2+(dy/ dt)^2)
12
Q
Polar Length
A
integral a to b
sqrroot(r^2+(dr/d(theta))^2)
13
Q
Concavity
A
d^2y/dx^2
14
Q
Slope
A
dy/dx
