Section 14.8: Lagrange Multipliers
Exercise 13
Find the extreme values of \(f(x_1, x_2, ..., x_n) = x_1 + x_2 + ... + x_n\) subject to the constraint \(x_1^2 + x_2^2 + ... + x_n^2 = 1\).
Find the extreme values of \(f(x_1, x_2, ..., x_n) = x_1 + x_2 + ... + x_n\) subject to the constraint \(x_1^2 + x_2^2 + ... + x_n^2 = 1\).