Find the absolute maximum and minimum values of f on the set D.
f(x, y) = 4x + 6y − x2 − y2 + 8,

D = {(x, y) | 0 ≤ x ≤ 4, 0 ≤ y ≤ 5}

Don't understand how to set up the problem

Question

Find the absolute maximum and minimum values of f on the set D.
f(x, y) = 4x + 6y − x2 − y2 + 8,

D = {(x, y) | 0 ≤ x ≤ 4, 0 ≤ y ≤ 5}

Don't understand how to set up the problem

tkhunny · Answer

It's already pretty much set up.  If it were me, I'd complete the square in x and in y and see what sort of entity we have, here.  If the Domain of the function turns out to be the same as the set D, this might go quite quickly.  Give it a go.

anonymous · Answer

i completed it for kicks
but its different than the other problems it seems simple but I'm confused as to what to do after I complete the square

anonymous · Answer

-((x-2)^2)((y-3)^2)-5