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The input $x(t)$ and output $y(t)$ of a system are related as $y(t)= \int_ {- \infty}^t x(\tau) \cos(3 \tau) d \tau$. The system is

  1. time-invariant and stable
  2. stable and not time-invariant
  3. time-invariant and not stable
  4. not time-invariant and not stable

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