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

f(x,y,z)=e^{xy}and x^{5}+y^{5}=64

Find Max and Min

2. Relevant equations

∇F = <ye^{xy}, xe^{xy}>

λ∇G = <5x^{4}λ, 5y^{4}λ>

3. The attempt at a solution

ye^{xy}= 5x^{4}λ

xe^{xy}= 5y^{4}λ

x^{5}+y^{5}=64

No idea where to go from here...

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# Homework Help: LaGrange multipliers with natural base

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