please help me solves these questions. these are the complete questions. thank you

1. (a) State the Karush-Kuhn-Tucker Theorem (KKT) for the following program P : max [f (x)] subject to: 91 (2) R and g : R"_> R2 are smooth functions. (b) Find the solution to the following special case of the program above: max x1 + x2] subject to: x, + 3x122 + 3x3 = 3. Is the constraint qualification satisfied everywhere in the domain? 2. (a) Solve the following problem: 2 1 max 2 - 2 2 subject to: Cite i x2 x120 (b) Argue that your solution is a global maximum