- #1
Artie
- 21
- 0
Homework Statement
Find the maximum and minimum values of the function f(x,y,z,t)=x+y+z+t subject to the constraint x^2+y^2+z^2+t^2=400.
Homework Equations
I think the Lagrange multiplers can be used ∇f=λ∇g
The Attempt at a Solution
So I found ∇f=<1,1,1,1> and ∇g=<2x,2y,2z,2t>
and when i set each component equal to each other I get x=y=z=t. I don't know where to go from here, or if this was even the right path to take in the first place