Question

Find the absolute maximum and minimum values of f on the set D.
f(x,y) = xy^2
D = x>or=0, y>or=0, x^2+y^2 14 years ago

Answer 1

\[f(x,y)=xy^2\]
\[D=x \ge 0, y \ge 0, x^2+y^2\le3\]

Answer 2

I always just start by drawing...

Answer 3

so first I guess we want to check for local max/min by finding critical points\[\nabla f(x,y)=\vec 0\]

Answer 4

well if you left I'm not going to finish this out as it is quite lon, let me know if you come back
go ahead and set up the system from the equation I gave you, and see if you can solve it

Answer 5

long*