
Evaluating Line Integrals and Direction Vectors

Interactive Video
•
Mathematics
•
11th Grade - University
•
Hard
Standards-aligned

Mia Campbell
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial step in evaluating a line integral in differential form?
Calculating the integral directly
Determining the endpoints
Writing the parametric equations
Finding the direction vector
Tags
CCSS.HSN.VM.A.2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine the direction vector for a line segment?
By adding the coordinates of the starting point to the ending point
By subtracting the coordinates of the starting point from the ending point
By dividing the coordinates of the starting point by the ending point
By multiplying the coordinates of the starting point by the ending point
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the parametric equation for the x-component of the line segment?
x(t) = 1 + 2t
x(t) = 1 - 2t
x(t) = 2 - t
x(t) = 2t - 1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the z-component of the parametric equation?
5
2
3
4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the differential form of the line integral, what does 'dy' represent?
The y-component itself
The constant value of y
The integral of the y-component
The derivative of the y-component with respect to t
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of combining the line integrals into one integral?
To simplify the calculation
To separate the components
To increase the complexity
To avoid integration
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of integrating 14t with respect to t?
7t
7t^2
14t^2
28t
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