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

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

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