Question 1 25 pts What is the maximum value of xy given that 9x2 + yz = 2? O O O O WIN Question 2 25 pts What is the maximum value of x + y given that x + 25yz = 25? 0 5 O 25 O 2V6 O V26Question 3 25 pts A function f(x, y) subject to a constraint g(x, y) = 0 must always have a maximum. O True O False Question 4 25 pts What is the purpose of the method of Lagrange multipliers? O To find the partial derivatives of a constrained function. O To constrain a function. O To find the relative extrema of a constrained function. O To find the solutions to a system of equations