
Understanding the Divergence Theorem and Flux Integrals

Interactive Video
•
Mathematics, Science
•
11th Grade - University
•
Hard

Amelia Wright
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the shape of the surface S in the given problem?
A sphere
A cylinder
A cone
A cube
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which planes bound the cylinder in the problem?
x = -5 and x = 4
x = -4 and x = 3
y = -4 and y = 3
z = -4 and z = 3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the Divergence Theorem relate?
A line integral and a volume integral
A surface integral and a volume integral
A line integral and a surface integral
A surface integral and a line integral
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What must be true about the partial derivatives of the vector field components for the Divergence Theorem to apply?
They must be discrete
They must be negative
They must be continuous
They must be zero
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the partial derivative of p with respect to x for the vector field given?
3xy
3z^2
3y^2
3x
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of the problem, what does the expression '3y^2 + 3z^2' represent?
The Laplacian of the vector field
The divergence of the vector field
The curl of the vector field
The gradient of the vector field
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why are cylindrical coordinates used in setting up the triple integral?
Because the cylinder is aligned with the y-axis
Because the cylinder is aligned with the origin
Because the cylinder is aligned with the x-axis
Because the cylinder is aligned with the z-axis
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