00:01
For this problem, we are asked to match up the 3d plot shown on the right with one of the contour plots shown on the left.
00:08
So, first of all, let's take a look at the 3d plot.
00:11
We can see that we have something that's around a relative maximum, possibly.
00:16
But we come down and we can see that we have this very, very sharp turning point line here, where we then turn around and start increasing as we go away from that sort of turning point.
00:28
So we have this almost singularity pit there.
00:34
Comparing that to plot a, we can see there's no resemblance.
00:38
We don't have that elliptical type shape, nothing like that.
00:42
So a is out of the running.
00:43
B looks like a good candidate, so let's come back to that.
00:47
C, we can see that whatever's being shown in c is symmetrical about the origin, which our 3d plot very much is not.
00:55
Then with d, we're showing something that near the origin, we have some sort of saddle point, where we're decreasing as we go in x and y, or increasing as we go in positive, in, excuse me, in plus or minus y...