if 4x49x464 then the maximum value of x2y2 is, Mathematics

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if 4x49x464 then the maximum value of x2y2 is

If 4x^4+9x^4=64 then the maximum value of x^2+y^2 is

solution) From the eq. finding the value of x^2 and putting it in x^2 + y^2.we get 2nd eq.

differentiating that and putting it=0 to get the maximum value we get y^2=16/3.(13)^1/2

x^2= 12/(13)^1/2

hence. x^2 + y^2=52/3.(13)^1/2

=4.(root 13)/3

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Mathematics: if 4x49x464 then the maximum value of x2y2 is

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Mathematics: if 4x49x464 then the maximum value of x2y2 is

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