I need help with the 5 questions shown in the screenshot. Please organize your work accordingly so it is easier to follow along. Thank you in advance!

Answer the following questions. 1. Determine and classify the critical point(s) of f(x, y) = 2x2 + 4xy + 5y2. Use the second derivative test to justify your answer. 2. Determine and classify the critical points of the function f(x, y) = 6xy(18 -2x -3y). Use the second derivative test to justify your answer. 3. Determine the maximum value of f(x, y) = 2x2 + 4xy + 5y on the curve x2 + y? = 5. 4. Determine the minimum value of f(x, y) = 2x2 + 2xy + 3y2 on the region x2 + y?