Section 14.8: Lagrange Multipliers
Exercise 16
Find the maximum value of \(f(x, y) = e^{xy}\) subject to the constraint \(x^3 + y^3 = 16\). Show that \(f\) has no minimum value with this constraint.
Find the maximum value of \(f(x, y) = e^{xy}\) subject to the constraint \(x^3 + y^3 = 16\). Show that \(f\) has no minimum value with this constraint.