
Parametric Equations Practice

Flashcard
•
Mathematics
•
11th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a parametric equation?
Back
A parametric equation expresses the coordinates of the points of a curve as functions of a variable, often denoted as 't'.
2.
FLASHCARD QUESTION
Front
How do you convert parametric equations to rectangular form?
Back
To convert parametric equations to rectangular form, eliminate the parameter by expressing one variable in terms of the other.
3.
FLASHCARD QUESTION
Front
What is the rectangular equation for the parametric equations x = 4cosθ and y = 3sinθ?
Back
The rectangular equation is \( \frac{y^2}{9} + \frac{x^2}{16} = 1 \), which represents an ellipse.
4.
FLASHCARD QUESTION
Front
What shape does the parametric equation x = 3cos(t), y = 3sin(t) represent?
Back
It represents a circle with a radius of 3.
5.
FLASHCARD QUESTION
Front
What is the rectangular equation for the parametric equations x = 4 - t and y = 2t + 1?
Back
The rectangular equation is y = 9 - 2x.
6.
FLASHCARD QUESTION
Front
What is the general form of a parametric equation for a circle?
Back
The general form is x = r cos(t) and y = r sin(t), where r is the radius.
7.
FLASHCARD QUESTION
Front
What is an ellipse in terms of parametric equations?
Back
An ellipse can be represented parametrically as x = a cos(t) and y = b sin(t), where a and b are the semi-major and semi-minor axes.
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