Section 14.8: Lagrange Multipliers
Exercise 19
Find the extreme values of \(f(x, y, z) = yz + xy\) subject to both constraints \(xy = 1\) and \(y^2 + z^2 = 1\).
Find the extreme values of \(f(x, y, z) = yz + xy\) subject to both constraints \(xy = 1\) and \(y^2 + z^2 = 1\).