Key Polar Graphs General Limacon

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12 Terms

1
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What type of graph is shown?
Limacon
Limacon
2
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r=a±bcos(θ) a>b: a + b is?
a+b: the distance from the pole on polar axis (a+b, 0°)
a+b: the distance from the pole on polar axis (a+b, 0°)
3
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r=a±bcos(θ) a>b: a - b is?
a-b: the distance from the pole on polar axis (a-b, 180°)
a-b: the distance from the pole on polar axis (a-b, 180°)
4
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r=a±bcos(θ): + ?
majority over + polar axis
majority over + polar axis
5
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r=a±bcos(θ): - ?
majority over - polar axis?
majority over - polar axis?
6
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r=a±bcos(θ): a ?
distance from pole on y-axis: (a, 90°); (a, 270°)
distance from pole on y-axis: (a, 90°); (a, 270°)
7
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r=a±bsin(θ): a>b: a + b is?
a+b: distance from pole on y-axis (a+b, 90°)
a+b: distance from pole on y-axis (a+b, 90°)
8
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r=a±bsin(θ) a>b: a - b is?
a-b: distance from pole on y-axis (a-b, 270°)
a-b: distance from pole on y-axis (a-b, 270°)
9
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r=a±bsin(θ): + ?
majority over + y-axis
majority over + y-axis
10
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r=a±bsin(θ): - ?
majority over - y-axis
majority over - y-axis
11
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r=a±bcos(θ): a ?
distance from pole on polar axis (a,0°); (a,180°)
distance from pole on polar axis (a,0°); (a,180°)
12
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What is the difference between the General Limacon, Limacon with an Inner Loop, and Cardioid?
What is the difference between the General Limacon, Limacon with an Inner Loop, and Cardioid?
General Limacon: a>b; Limacon with inner Loop: a
General Limacon: a>b; Limacon with inner Loop: a<b; Cardioid:a=b