Section 14.8: Lagrange Multipliers
Exercise 20
Find the extreme values of \(f(x, y, z) = x^2 + y^2 + z^2\) subject to both constraints \(z^2 = x^2 + y^2\) and \(x + y - z = -1\).
Find the extreme values of \(f(x, y, z) = x^2 + y^2 + z^2\) subject to both constraints \(z^2 = x^2 + y^2\) and \(x + y - z = -1\).