Question

How do you minimize and maximize `f(x,y)=2x^2-x/(2x-3y)` constrained to `1<yx^2+xy^2<16`?

Answer 1

See below.

Explanation:

With the Lagrange Multipliers technique we get the following results

`((f,x,y),(0,0,-128),(31.7141,-4,2),(0,0.01248,-8.04377),(4.75284,-1.58758,0.779102))`

Attached the feasible region and some maxima/minima points