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A continous time signal $x(t)=4cos(200\pi t)+8cos(400\pi t)$, where $t$ is in seconds, is the input to a linear time invariant (LTI) filter with the impulse response
$h(t)=\left\{\begin{matrix} \frac{2sin(300\pi t)}{\pi t},\: t\neq 0\\ 600,\: t=0 \end{matrix}\right.$
Let $y(t)$ be the output of this filter. The maximum value of $\left | y(t)) \right |$ is _________.

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