Question: Determine which of the following problems are Turing decidable. Given a TM M and a string w, determine if M ever moves its read/write head

Determine which of the following problems are Turing decidable. Given a TM M and a string w, determine if M ever moves its read/write head to the left when started with input w. Given a TM M, a state q of M, and a string w, determine if M ever reaches the state q when started with input w. Given a TM M and a symbol a, determine if M ever writes the symbol a when started with an empty tape. Given a TM M, determine if M ever writes a non-blank symbol when started with mi empty tape
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