Hi, am studying for final exam and has been long time since did lagrange and am stumped on the following,
Using method of LM find the maximum and minimum values of the function;
f(x,y,z) = x
subject to the constraints (x^2) + 2(y^2) + 2(z^2) = 8
and x + y = z
I used LM to get the following;
(1,0,0) = a(2x, 4y, 4z) + b(1, 1, -1)
Where a = lambda1 and b = lambda 2 (lagrange multipliers)
but i can't solve the equations to give max/min?
Any help would be greatly appreciated.