Find the absolute minimum and absolute maximum.

[corleoneee]

Find the absolute minimum and absolute maximum of
f(x,y) = x^2+y^2-2(x-y) in the region defined by the
x^2+y^2≤4 ?

What is the solution i have tried many times and what is the answer?

 

[Deleted member 4993]

Find the absolute minimum and absolute maximum of
f(x,y) = x^2+y^2-2(x-y) in the region defined by the
x^2+y^2≤4 ?

What is the solution i have tried many times and what is the answer?

Can you visualize the suface?

To do that transform the equation to:

f(x,y) = (x - 1)²+ (y + 1)² - 2

Then I would apply Lagrange multiplier to include the constraints.

Then find partial derivatives and rest of the excercize......

Please share your work with us .

If you are stuck at the beginning tell us and we'll start with the definitions such as "what is commisson"?"

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