- #1
aclotm81
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Homework Statement
By using the Lagrange multipliers find the extrema of the following function:
f(x,y)=x+y
subject to the constraints:
x2+y2+z2=1
y+z=12. The attempt at a solution
Using lambda = 1/(2x) I got x=y-z and y=1-z
plugging that into the first constraint, I got:
6y^2-6y+1=0 which makes y=0.5+-(31/2/6)
I got the same thing when solving for z, which means x=0 and lambda = infinity, which doesn't make sense.