
Understanding Line Integrals and Green's Theorem
Interactive Video
•
Mathematics, Science
•
11th Grade - University
•
Practice Problem
•
Hard
Emma Peterson
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the radius of the circle for which the line integral is evaluated?
3
4
5
2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the circle in the middle of the integral symbol indicate?
Green's Theorem
Divergence Theorem
Fundamental Theorem of Calculus
Stokes' Theorem
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to Green's Theorem, what must the curve C be?
Closed and clockwise
Open and smooth
Simply connected and piecewise smooth
Disjoint and irregular
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the x-component of the vector field in the given problem?
3y - e^sin(x)
5x - sin(y^3 + y)
2x + 3y
x^2 + y^2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the partial derivative of the y-component with respect to x?
3
x
5
0
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the difference between the partial derivatives of g with respect to x and f with respect to y?
3
4
2
1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the limits of integration for r in polar coordinates?
0 to 5
0 to 4
0 to 3
0 to 2
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