A continuous time signal x(t) = 4 cos(200πt) + 8 cos(400πt), where t is in seconds, is the input to a linear time invariant (LTI) filter with the impulse response

\(h\left( t \right) = \left\{ {\begin{array}{*{20}{c}} {\frac{{2{\rm{sin}}\left( {300\pi t} \right)}}{{\pi t}}}&{t \ne 0}\\ {600,}&{t = 0} \end{array}} \right.\)

Let y(t) be the output of this filter. The maximum value of |y(t)| is ________.

Enter numerical value using the virtual keypad. Round off where necessary.

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