SOLUTION: Find the greatest value of "xy". If ( (a^2 x^4) + ( b^2 y^4) ) = c^6. ?

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Question 955351: Find the greatest value of "xy".
If ( (a^2 x^4) + ( b^2 y^4) ) = c^6. ?

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!




So then,


Taking the derivative of Z with respect to x,

To find the extrema, set the derivative equal to zero.



So then,


}

So then,


and finally,



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