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