00:01
Okay, what we want to go ahead and do is to graph the function f of xy equal to sine of x plus two cosine y.
00:15
And we want to do it over the interval in x from negative 2 pi to 2 pi and the interval in y from negative 2 pi to 2 pi and the interval in y from negative 2 pi to 2 pi.
00:29
And not only do we want to graph the surface, we want to also graph several level curves.
00:39
And so let's go ahead and switch to a three -dimensional graphing utility.
00:45
I have mine up and going.
00:48
And so i've already typed in my surface.
00:52
So there is what the surface of sine of x plus two cosine of y looks like.
00:58
Of course, the red axis is the x, the green axis is the y, and of course, the blue is the z.
01:06
And so we can actually move this around to give you all a better view of what that looks like.
01:13
And then we also want to graph several level curves.
01:17
And so i've graphed 0 .5 equal to the function.
01:22
And so i'm going to click on that to show you what that level curve looks like...