T. Use Lagrange multipliers to maximize f : 1&2 -> R dened by at, y] = e'IT':r subject to the constraint 1:2 + y?2 = 1. f] swag D where D is the triangle with vertices [0, 0), (0, 1)1 (1, 0]. 8. Evaluate 9. Set up [do not evaluate) iterated integrals for both orders of integration of m where D is the region bounded by y = 1:2 and y = 31