Alg 2/Precalc Honors- Special Polar Graphs

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23 Terms

1
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Convex Limacon
Convex Limacon
(a/b) ≥ 2
2
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Cardioid
Cardioid
(a/b)=1
3
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Limacon with inner loop
Limacon with inner loop
(a/b)
4
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Dimpled limacon
Dimpled limacon
1 < (a/b) < 2
5
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How many petals if odd
n
6
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How many petals if even (n ≥ 2)
2n
7
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Where is at least one petal when its a cos graph
Pole or θ=0
Pole or θ=0
8
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Where is the initial petal in a sin graph
θ=pi/2/n
θ=pi/2/n
9
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r=a cos(θ)
r=a cos(θ)
Circle with axis of sym on pole
10
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r=a sin(θ)
r=a sin(θ)
Circle with axis of sym on θ=pi/2
11
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r^2=a^2 sin(2θ)
r^2=a^2 sin(2θ)
Lemniscate with axis of sym from pi/2 by the distance of pi/2/n
12
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r^2=a^2 cos(2θ)
r^2=a^2 cos(2θ)
Lemniscate with axis of sym on pole
13
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How can you find the number of degrees between petals on a rose curve
2pi/number of petals
14
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Ellipse
e (eccentricity) < 1
15
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Parabola
e (eccentricity) = 1
16
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Hyperbola
e (eccentricity) > 1
17
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x^2+y^2
What is r^2 equal to
18
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rcos(θ)
What is x equal to in polar form
19
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rsin(θ)
What is y equal to in polar form
20
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y/x
What is tan(θ) equal to
21
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=k
How do you find the directix
22
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Horizontal motion is
x=vtcos(θ)
23
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Vertical motion is
vtsin(θ)-.5gt^2 +h