Studied by 7 peopleConvex Limacon
(a/b) ≥ 2
Cardioid
(a/b)=1
Limacon with inner loop
(a/b)<1
Dimpled limacon
1 < (a/b) < 2
How many petals if odd
n
How many petals if even (n ≥ 2)
2n
Where is at least one petal when its a cos graph
Pole or θ=0
Where is the initial petal in a sin graph
θ=pi/2/n
r=a cos(θ)
Circle with axis of sym on pole
r=a sin(θ)
Circle with axis of sym on θ=pi/2
r^2=a^2 sin(2θ)
Lemniscate with axis of sym from pi/2 by the distance of pi/2/n
r^2=a^2 cos(2θ)
Lemniscate with axis of sym on pole
How can you find the number of degrees between petals on a rose curve
2pi/number of petals
Ellipse
e (eccentricity) < 1
Parabola
e (eccentricity) = 1
Hyperbola
e (eccentricity) > 1
x^2+y^2
What is r^2 equal to
rcos(θ)
What is x equal to in polar form
rsin(θ)
What is y equal to in polar form
y/x
What is tan(θ) equal to
=k
How do you find the directix
Horizontal motion is
x=vtcos(θ)
Vertical motion is
vtsin(θ)-.5gt^2 +h
Note
Flashcard