1. Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.)

f(x,y) =x³+y³3x²9y²9x

local maximum value(s)

local minimum value(s)

saddle point(s)

2. Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.)

f(x,y) =y²8ycos(x), 4x4

local maximum value(s)

local minimum value(s)

saddle point(s)

3. Find the absolute maximum and minimum values offon the setD.

f(x,y) =x²+y²+x²y+8, D=

(x,y)

|x|1, |y|1

absolute maximum valueabsolute minimum value