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Let f(x)=|[1+sin ^2 x, cos ^2 x , 4 sin...

Let `f(x)=|[1+sin ^2 x, cos ^2 x , 4 sin 2 x],[ sin ^2 x ,1+cos ^2 x , 4 sin 2 x],[ sin ^2 x , cos ^2 x , 1+4 sin 2 x]|`, the maximum value of `f(x)` is

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