Use proper notation. Show all your work clearly. Include sentences when it helps to clarify your process. Evaluate all integrals by hand showing all the steps that lead to your answer

Give exact answers, not decimal approximations

Box-in your final answers.

Find all critical points of f and classify each of them as either a local min, local max, or saddle point, then find the absolute maximum and minimum values of f on D, where

f (x, y ) = x + 4xy +2