Originally Posted by

**WannaBe** Hey there,

I realy need some help in the following question:

Find absolute maximum and minimum of the function:

$\displaystyle f(x,y,z)=e^{-2x-3y-5z}$ in the set:

$\displaystyle {(x,y,z) | x^{2}+y^{2}+z<=1,x+y+z>=1 } $ .

{Does the fact the the function $\displaystyle \phi (t) =e^{t}$ is monotonic can help? } ...

Well, we know that the only place where the partial deriatives are zero is (0,0,0)... But it doesn't tell us anything about absolute min/max... I'll be delighted to get some help on how to continue...

Thanks!