Can somebody tell me if I've started this off right?
I need to use the Lagrange method to find the minimum distance from the point (1,2,3) to any point of the surface:
Let:
and
and then just carry on in the usual manner?
I've looked at a bunch of Lagrange tutorials, but they're all so different. I'm sure these basic questions aren't too difficult, but I seem to be stuck.
The question i am trying solve is:
Using the Lagrange multiplier method, find the minimum distance from the point (1,2,3) to any point on the surface defined by:
Every example that I have tells me that I should solve like this:
We have:
...(and so on)
...(and so on)
...(and so on)
Why do I not get the right answer unless I use in these equations?