Recent content by fission14

Ok, i solved those equations as I had them set up, and it looks like I get two extremum, 1 at (0,0,2) (max), and 1 at (sqrt(2), sqrt(2), 0) (min). Just by inspection it looks like this makes sense - and maple also agrees. Success I suppose?

Homework Statement Find the extreme values of the function f(x,y,z) = xy + z^2 in the set S:= { y\geq x, x^2+y^2+z^2=4 } Homework Equations The Attempt at a Solution Ok, so This is clearly a lagrange multiplier question. Geometrically, I can see that the region that is the constraint is...

Hi, thank you for taking the time to post this. I do have a question though - how did you go about expressing points on those vectors in terms of the orthonormal basis? This is the only part I'm stuck on, although I realize it's probably quite silly. Thanks.