1.) Find the local maximum and minimum values and saddlepoint(s) (x,y,f) of the function. If you have three-dimensionalgraphing software, graph the function with a domain and viewpointthat reveal all the important aspects of the function. (Enter youranswers as a comma-separated list. If an answer does not exist,enter DNE.)
f (x, y) = xy − 5x − 5y − x2 − y2
2.)Find the local maximum and minimum values and saddlepoint(s)(x,y,f) of the function. If you have three-dimensionalgraphing software, graph the function with a domain and viewpointthat reveal all the important aspects of the function. (Enter youranswers as a comma-separated list. If an answer does not exist,enter DNE.)
f(x, y) = x3 + y3 − 3x2 − 9y2 − 9x
3.)Find the local maximum and minimum values and saddlepoint(s)(x,y,f) of the function. If you have three-dimensionalgraphing software, graph the function with a domain and viewpointthat reveal all the important aspects of the function. (Enter youranswers as a comma-separated list. If an answer does not exist,enter DNE.)
f(x, y) = 5y cos(x), 0 ≤ x ≤ 2π
