The same idea applies here as well. It would also existRange
Level curves and contour curves are the same. Let . We see then that the cross section of this plane and the plane will have the form of . Thus, the contour lines will be linear, and as k varies (positive or negative), the contour lines vary.Level curves Is this also called contour curve?
Here is the contour plot:
Hmm...I would say that the boundary of the domain would be , but if anyone one else wants to chip in something, that would be greatBoundary of the functions domain
Could you try to elaborate a little bit more on this?Determine if open region, closed or neither.
Since the domain approaches both positive and negative infinity, the domain would be unbounded [someone correct me if I'm wrong]Decide if the domain is bounded or unbounded.
Need help with the bolds! Please explain too!