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I'm looking to study for my theory of computation exam, so I'd like you to write...

I'm looking to study for my theory of computation exam, so I'd like you to write a sample problem and answer it based on the topic below. If you also wouldn't mind, could you also explain what you're doing.

"Use product construction to find a DFA that accepts the union or the intersection of L(M1) and L(M2) where M1 and M2 are two given DFA's

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