Answer:
The vertex for this graph is going to be point (-3,-11)
Step-by-step explanation:
If you graph your graph given, you should get (-3,-11) as your vertex. Remember your vertex is going to the highest or lowest point in your graph.
The answer to your problem is 480
Step-by-step explanation:
Rewrite the expression 1/x^2/3 in the form x^nRewrite the expression 1/x^2/3 in the form x^n
The Lagrangian is

with partial derivatives (set equal to 0)





Case 1: If
, then

Then


So we have two critical points,
and 
Case 2: If
, then in the first equation we get

and from the third equation,

Then


but there are no real solutions for
, so this case yields no additional critical points.
So at the two critical points we've found, we get extreme values of
(min)
and
(max)
This is problem #9. I'm not sure how to solve #10, although the solution may be found in a similar way.