Question

write the absolute minimum and maximum VALUE for eachplease!

1. f(x, y) =xy² +8, D= {(x, y) | x ?0, y ? 0, x² +y²? 3}

2. f(x, y) =2x³ + y⁴ +2, D= {(x, y) | x² +y²? 1}

3. f(x, y) =x³? 3x? y³ + 12y +9,

D is quadrilateralwhose vertices are

(?2, 3), (2, 3), (2, 2), and (?2,?2)

4. f(x, y) =4x + 6y ?x²? y²+ 8,

D = {(x, y) | 0? x ? 4, 0 ?y ? 5}