- Find a potential for $\vec F = (2x+3yz,3xz+y,3z)$, or explain why none exists.
- Find a potential for $\vec F = (2x+3yz,3xz+y,3xy)$, or explain why none exists.
- Find the work done by the vector field in #2 to move an object from the point $(1,2,3)$ to the point $(-1,4,0)$.
- Find the work done by the vector field in #2 to move an object along any path that starts at $(a,b,c)$ and ends at $(a,b,c)$.
- Find a potential for $\vec F = \dfrac{(-x,-y,-z)}{(x^2+y^2+z^2)^{3/2}}$.
- Set up an integral to find the area of the regions on the board.
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