Section 14.8: Lagrange Multipliers
Exercise 12
Find the extreme values of \(f(x, y, z, t) = x + y + z + t\) subject to the constraint \(x^2 + y^2 + z^2 + t^2 = 1\).
Find the extreme values of \(f(x, y, z, t) = x + y + z + t\) subject to the constraint \(x^2 + y^2 + z^2 + t^2 = 1\).