Find the local maximum and minimum values and saddle point(s) ofthe function. If you have three-dimensional graphing software,graph the function with a domain and viewpoint that reveal all theimportant aspects of the function. (Enter your answers as acomma-separated list. If an answer does not exist, enter DNE.)

f(x, y) =x³ + y³ ?3x² ? 9y²? 9x

Find the local maximum and minimum values and saddle point(s) ofthe function. If you have three-dimensional graphing software,graph the function with a domain and viewpoint that reveal all theimportant aspects of the function. (Enter your answers as acomma-separated list. If an answer does not exist, enter DNE.)

f(x, y) = xy + 64/x +64/y

Find the local maximum and minimum values and saddle point(s) ofthe function. If you have three-dimensional graphing software,graph the function with a domain and viewpoint that reveal all theimportant aspects of the function. (Enter your answers as acomma-separated list. If an answer does not exist, enter DNE.)

f(x, y) =y² ? 8ycos(x),    ?1 ?x ? 7

Find the local maximum and minimum values and saddle point(s) ofthe function. If you have three-dimensional graphing software,graph the function with a domain and viewpoint that reveal all theimportant aspects of the function. (Enter your answers as acomma-separated list. If an answer does not exist, enter DNE.)

f(x, y) = 6 sin(x) sin(y),     ??

Find the absolute maximum and minimum values of f onthe set D.

f(x, y) =x² + y² +x²y + 8,

Find the absolute maximum and minimum values of f onthe set D.

f(x, y) =x⁴ + y⁴ ?4xy + 7,

D = {(x,y) | 0 ? x ? 3, 0 ?y ? 2}

absolute maximum value
absolute minimum value

D = {(x,y) | |x| ? 1,|y| ? 1}

absolute maximum value
absolute minimum value