I need help with questions 1-3. Question one does not pertain to the picture M1 Turing machine. 2 and 3 are to be used with the picture. Thank you.

(1) (2 points) Give a TM which accepts the language:

{w | w contains a even # of 0s and contains an odd # of 1s }

(2) (2 points) For M1 give the sequence of configurations it goes through when started on the following input:

(a) 10

(b) 1#0

(c) 10#00 (d) 10#01

(3) (2 points) What is the language of M1?

start M1 go 0, 1 R 0, 1 R q1 q8 42 R q3 qaccept 94 de-+R 96 0, 1, 2 L q7 QC 0.1L #R L 1 # R