If \[f(x)=\left| \begin{matrix} 1+{{\sin }^{2}}x & {{\cos }^{2}}x & 4\sin 2x \\ {{\sin }^{2}}x & 1+{{\cos }^{2}}x & 4\sin 2x \\ {{\sin }^{2}}x & {{\cos }^{2}}x & 1+4\sin 2x \\ \end{matrix} \right|\]What is the maximum value of \[f(x)\]?

If \[f(x)=\left| \begin{matrix} 1+{{\sin }^{2}}x & {{\cos }^{2}}x

1.	If \[f(x)=\left\| \begin{matrix} 1+{{\sin }^{2}}x & {{\cos }^{2}}x & 4\sin 2x \\ {{\sin }^{2}}x & 1+{{\cos }^{2}}x & 4\sin 2x \\ {{\sin }^{2}}x & {{\cos }^{2}}x & 1+4\sin 2x \\ \end{matrix} \right\|\]What is the maximum value of \[f(x)\]?
A.	2
B.	4
C.	6
D.	8
Answer» D. 8

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If \[f(x)=\left| \begin{matrix} 1+{{\sin }^{2}}x & {{\cos }^{2}}x & 4\sin 2x \\ {{\sin }^{2}}x & 1+{{\cos }^{2}}x & 4\sin 2x \\ {{\sin }^{2}}x & {{\cos }^{2}}x & 1+4\sin 2x \\ \end{matrix} \right|\]What is the maximum value of \[f(x)\]?

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