Which of the following best describes the Divergence Theorem?
Question 2
Which of the following is a necessary condition for applying the Divergence Theorem?
Question 3
Consider the vector field $\mathbf{F}(x,y,z) = (x^2, y^2, z^2)$. What is the divergence $\nabla \cdot \mathbf{F}$?
Question 4
Let $\mathbf{F}(x,y,z) = (3x, -2y, z)$. What is the flux of $\mathbf{F}$ through the surface of the unit cube defined by $0 \leq x, y, z \leq 1$ using the Divergence Theorem?
Question 5
Which of the following vector fields has zero net flux through any closed surface, according to the Divergence Theorem?
