Question A: Use the method of Lagrange multipliers to nd the absolute maxi mum and minimum values of f (:17, y) = 3:2 + y2 x y + 1 on the unit disc....

Hello! I really need detailed guidance with the following practice problem. Would you be able to provide a detailed explanation and solution for these practice problems? Thank you! Please feel free to write it out by hand...

Question A: Use the method of Lagrange multipliers to find the absolute maxi—mum and minimum values of f (:17, y) = 3:2 + y2 — x — y + 1 on the unit disc. Question B: A rectangular box with no top is to have a surface area of 16m2.Find the dimensions that maximize its volume. QueStiOIl C: Show that $322 — z3ym = 0 is solvable for 2: as a fimction of (:12, 3/) near(1,1,1) but not near (0, 0,0). Compute 62/855 and 82/63; at (1,1).