\(OAB\) is a triangle.
\(C\) is the midpoint of \(OA\).
\(\overrightarrow{OC}=\mathbf{m}\) and \(\overrightarrow{CB}=\mathbf{n}\).
\(E\) lies on \(AB\) and \(AE:EB=4:5\).
Find, in terms of \(\mathbf{m}\) and \(\mathbf{n}\), the position vector of \(E\).
Give your answer in its simplest form.[4]
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