Prove the following statements: a) Parallel connections of BIBO-stable (bounded input bounded output) systems are BIBO stable. b) Series connection of BIBO-stable systems are BIBO stable.

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Prove the following statements:

a) Parallel connections of BIBO-stable (bounded input bounded output) systems are BIBO stable.

b) Series connection of BIBO-stable systems are BIBO stable.

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