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A continuous time signal x(t)=4cos(200πt)+8cos(400πt), where t is in seconds, is the input to a linear time invariant (LTI) filter with the impulse response
h(t)=
Let y(t) be the output of this filter. The maximum value of |y(t)| is ______.

[GATE EC 2017 Set 1]
A
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