I need help matching each of the following contour maps with their actual graphs.
I can see that IV = A, simply because of the horizontal lines.
Most likely I = C, since we can kind of see a hyperbolic nature.
But II and III I am not sure about.
The reason is that B and D "curve upwards", and so I am having doubts on which one.

My guess would be B-III, D-II, for the following reasons:
1) B seems "more" convex along the direction going "into" the screen: this matches the fact level curves in III get closer. D seems to tend to a linear growth, matching the fact Level curves in II seem equispaced (approximately of course)
2) if the orientation of the surface and contour plots is unvaried from cases A and C ( the former is unambiguous), more evidence for the B and III match is gained (aspect ratio of the level curves).