(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

See figure.

2. Relevant equations

N/A.

3. The attempt at a solution

Part A:

The volume is,

[tex] xyz = xy(1 - x^{2} - y^{2}) [/tex]

Critical points:

[tex]f_{x} = y-3x^{2}y-y^{3} = 0 [/tex]

[tex]f_{y} = x -x^{3} - 3xy^{2} = 0[/tex]

Part B:

This is where I get confused, how do I find the critical point in the first quadrant assuming x>0 and y>0 ?

NOTE: I haven't gotten to parts C and D yet, I'll update this thread as I go.

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# Homework Help: Critical points question

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