What is a Rose Curve?

Polar Curves - Warm Up

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Mathematics
•
KG - University
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A type of polar curve that resembles a flower, defined by the equation r = a * sin(nθ) or r = a * cos(nθ), where n determines the number of petals.
2.
FLASHCARD QUESTION
Front
What does it mean if a Rose Curve has 4 leaves?
Back
It means that the value of n in the equation is 4, resulting in a curve with 4 petals.
3.
FLASHCARD QUESTION
Front
What is a Cardioid?
Back
A heart-shaped polar curve defined by the equation r = a + b * sin(θ) or r = a + b * cos(θ), where a and b are equal.
4.
FLASHCARD QUESTION
Front
What is an Inner Loop Limacon?
Back
A type of polar curve that has a loop inside it, defined by the equation r = a + b * sin(θ) or r = a + b * cos(θ) where a < b.
5.
FLASHCARD QUESTION
Front
What is a Circle in polar coordinates?
Back
A circle can be represented in polar coordinates as r = a, where a is the radius of the circle.
6.
FLASHCARD QUESTION
Front
What does it mean if a Rose Curve has 6 leaves?
Back
It means that the value of n in the equation is 6, resulting in a curve with 6 petals.
7.
FLASHCARD QUESTION
Front
What is a Dimpled Limacon?
Back
A type of polar curve that has a dimple or indentation, defined by the equation r = a + b * sin(θ) or r = a + b * cos(θ) where a < b.
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