Section 14.8: Lagrange Multipliers
Exercise 18
Find the extreme values of \(f(x, y, z) = x^2 + y^2 + z^2\) subject to both constraints \(x^2 + y^2 + z^2 = 1\) and \(x + y + z = 1\).
Find the extreme values of \(f(x, y, z) = x^2 + y^2 + z^2\) subject to both constraints \(x^2 + y^2 + z^2 = 1\) and \(x + y + z = 1\).