8.2 Graphs of Polar Equations
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a limacon?
Back
A limacon is a type of polar graph that can have an inner loop, a dimple, or be a simple loop, depending on the parameters in its equation.
2.
FLASHCARD QUESTION
Front
What is a rose curve?
Back
A rose curve is a polar graph that resembles a flower and is defined by the equation r = a sin(nθ) or r = a cos(nθ), where n determines the number of petals.
3.
FLASHCARD QUESTION
Front
What is a cardioid?
Back
A cardioid is a specific type of limacon that has a single cusp and is represented by the polar equation r = 1 + sin(θ) or r = 1 + cos(θ).
4.
FLASHCARD QUESTION
Front
What is the general form of a polar equation?
Back
The general form of a polar equation is r = f(θ), where r is the distance from the origin and θ is the angle from the positive x-axis.
5.
FLASHCARD QUESTION
Front
What does the equation r = 1 + cos(θ) represent?
Back
The equation r = 1 + cos(θ) represents a limacon without an inner loop.
6.
FLASHCARD QUESTION
Front
What does the equation r = 1 - 3cos(θ) represent?
Back
The equation r = 1 - 3cos(θ) represents a limacon with an inner loop.
7.
FLASHCARD QUESTION
Front
What is the significance of the angle θ in polar coordinates?
Back
The angle θ in polar coordinates indicates the direction of the point from the origin, measured counterclockwise from the positive x-axis.
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