Calculus of Polar Curves - Calc BC - Calculator Allowed

Flashcard
•
Mathematics
•
12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
Define a polar curve.
Back
A polar curve is a curve represented in polar coordinates, where each point on the curve is defined by a distance from a reference point (the pole) and an angle from a reference direction.
2.
FLASHCARD QUESTION
Front
What is the formula for the slope of a polar curve given by r(θ)?
Back
3.
FLASHCARD QUESTION
Front
What is a cardioid in polar coordinates?
Back
4.
FLASHCARD QUESTION
Front
How do you find the area enclosed by a polar curve?
Back
5.
FLASHCARD QUESTION
Front
Back
6.
FLASHCARD QUESTION
Front
How do you determine the points of intersection between two polar curves?
Back
To find the points of intersection between two polar curves, set their equations equal to each other and solve for θ.
7.
FLASHCARD QUESTION
Front
What is the significance of the angle θ in polar coordinates?
Back
In polar coordinates, the angle θ represents the direction of the point from the pole, measured from the positive x-axis.
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