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Let  $m(t)$ be a strictly band-limited signal with bandwidth $B$ and energy $E$. Assuming $\omega_{0}=10 B$, the energy in the $m(t) \cos \omega_{0} t$ is

  1. $\frac{E}{4}$
  2. $\frac{E}{2}$
  3. $E$
  4. $2E$
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