Now focus on the boundary of D, and solve for y2. Restricting f(x, y) to this boundary, we can express f(x, y) as a function of a single variable x. What is this function and its closed interval domain?

At critical point in D

a

b

where

c

maximum value 11

minimum value  10

Step-by-step explanation:

Given

At critical point

 =>  

=>  

Also

=>  

Now considering along the boundary

=>  

=>  

Restricting to this boundary

At boundary point D = 1

Which implies that  or

So the range of  x is

Now along this this boundary the critical point is at

=>        

=>        

Now at maximum point

For the minimum point x = -1 or x =1

go on the tube you might find some information there

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb