
Understanding Tangent Lines to Parametric Curves

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned

Emma Peterson
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of finding the slope of the tangent line to a parametric curve?
To calculate the curve's area
To determine the curve's orientation
To find the curve's length
To understand the curve's steepness at a point
Tags
CCSS.HSF.TF.A.2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the x-coordinate of the point of tangency?
By finding the derivative of x with respect to t
By evaluating y at t equals pi over three
By evaluating x at t equals pi over three
By finding the derivative of y with respect to t
Tags
CCSS.HSF.TF.A.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the cosine of pi over three?
One
Zero
One half
Square root of three
Tags
CCSS.HSF.TF.A.2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which method can be used to find trigonometric values besides reference triangles?
Numerical approximation
Algebraic equations
Unit circle
Graphing calculator
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of seven sine t with respect to t?
Seven cosine t
Negative seven cosine t
Negative seven sine t
Seven sine t
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of six cosine t with respect to t?
Negative six sine t
Six cosine t
Six sine t
Negative six cosine t
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for dy/dx in terms of parametric equations?
dy/dt divided by dx/dt
dx/dt divided by dy/dt
dy/dt times dx/dt
dx/dt times dy/dt
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