Key Polar Graphs Limacon with a Inner Loop

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Description and Tags

Pre-Calculus

Vectors

10th

12 Terms

1
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What type of graph is shown?
Cardioid
Cardioid
2
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r=a±bcos(θ) a<b: a+b ?
length of outer loop on polar axis (a+b, 0°)
length of outer loop on polar axis (a+b, 0°)
3
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r=a±bcos(θ) a<b: a-b ?
length of inner loop on polar axis (a-b, 180°)
length of inner loop on polar axis (a-b, 180°)
4
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r=a±bcos(θ) a<b: + ?
majority over + polar axis
majority over + polar axis
5
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r=a±bcos(θ) a<b: - ?
majority over - polar axis
majority over - polar axis
6
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r=a±bcos(θ) a<b: 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 ?
length of outer loop on y-axis (a+b, 90°)
length of outer loop on y-axis (a+b, 90°)
8
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r=a±bsin(θ) a<b: a-b ?
length of inner loop on y-axis (a-b, 270°)
length of inner loop on y-axis (a-b, 270°)
9
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r=a±bsin(θ) a<b: + ?
majority over + y-axis
majority over + y-axis
10
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r=a±bsin(θ) a<b: - ?
majority over - y-axis
majority over - y-axis
11
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r=a±bsin(θ) a<b: 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?
General Limacon: a>b; Limacon with inner Loop: a<b; Cardioid: a=b
General Limacon: a>b; Limacon with inner Loop: a<b; Cardioid: a=b