Use Lagrange multipliers to find the max and min values of the function subject to the given constraints:
f(x1,x2,...,xn) = x1 + x2 + ... + xn
constraint: (x1)^2 + (x2)^2 + ... (xn)^2 = 1
The Attempt at a Solution
fo x1 to xn values, x must equal 1/sqrt(n) in order to equal 1. [ g(x)=k --> the constraint ]
so (1/sqrt(n))^2 + (1/sqrt(n))^2 + (1/sqrt(n))^2 + ETC = 1
right? so how else could i answer that? how would a give a value for the min/max?