What is a parametric equation?

Tangent Lines in Parametric Equations

Interactive Video
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Mathematics
•
11th - 12th Grade
•
Hard

Thomas White
FREE Resource
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12 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
An equation that defines a curve using only constants.
An equation that defines a curve using a parameter.
An equation that uses two variables to define a curve.
An equation that defines a curve using a single variable.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the derivative of a parametric equation be expressed?
As the sum of derivatives of X and Y.
As the product of derivatives of X and Y.
As the derivative of Y divided by the derivative of X.
As the difference between derivatives of X and Y.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the given example, what is the parametric equation for X?
X = 2 sin T
X = 2 cos T
X = T^2 + 4T
X = T + 4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What condition must be met for a horizontal tangent line?
The derivative must be undefined.
The derivative must be zero.
The derivative must be negative.
The derivative must be positive.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the T value for a horizontal tangent line in the example?
T = 0
T = 2
T = -2
T = 4
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the XY coordinates for a horizontal tangent line?
By setting T to zero.
By plugging the T value into the parametric equations.
By using the derivative of X.
By using the derivative of Y.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a vertical tangent line?
A line where the derivative is negative.
A line where the derivative is positive.
A line where the derivative is undefined.
A line where the derivative is zero.
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