find the extreme value of f(x,y) =x^3y^2(12-x-y) find x and y value?i can't...

Question

amistre64 · Answer

determine:  Fxx and Fyy and Fxy seems to be a start if memory serves

amistre64 · Answer

if you are asking for just an answer ... then no

amistre64 · Answer

the solution is in the process;  i would have to see your process

amistre64 · Answer

are you applying what you have learned?

amistre64 · Answer

there is some relationship of:

Fxx*Fyy - (Fxy)^2  that should help define them

amistre64 · Answer

show me what youve worked ... this is not a free answering service here

anonymous · Answer

mm thanks frd

amistre64 · Answer

i get:

$$F_x = 3x^2y^2(12-x-y)-x^3y^2$$$$F_y = 2x^3y(12-x-y)-x^3y^2$$
if this has a global point; then itll have to be when Fx=Fy=0, but it may also be a saddle point, so these would be considered critical points to chk

amistre64 · Answer

we can check if it has a global max from the Fxx Fyy Fxy parts to see if there is even a maximum

amistre64 · Answer

do you agree so far?  and if so; what are your partials to test?