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If f(x)=|{:(,1+sin^(2)x,cos^(2)x,4sin2x)...

If f(x)=`|{:(,1+sin^(2)x,cos^(2)x,4sin2x),(,sin^(2)x,1+cos^(2)x,4sin2x),(,sin^(2)x,cos^(2)x,1+4sin2x):}|` then the maximum value of f(x) is

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