Can someone tell me how to use method of Lagrange multipliers to do following question:
Use the method of Lagrange multipliers to find the critical points of the following constrained optimisation problems. Do not attempt to test the nature of these critical points.
(a) Optimise f(x, y) = x + y,
subject to the constraint: x^2 + y^2 - 4 = 0
(b) Optimise f(x, y, z) = x^2 + y^2 + z^2,
subject to the constraints: x + y + z = 1 and x + 2y + 3z = 2