For each of the following languages give a regular expression that matches the strings in the language. Note: You can use . (i.e., a dot) to denote any character in the alphabet.

(a) [5 marks] The language, over the lower-case English alphabet, = {a, b, ..., z}, of strings that start and end with vowels (assume y is a vowel).

(b) [5 marks] The language of binary strings, = {0, 1}, that do not contain the substring 01.

(c) [5 marks] The language, over the alphabet of decimal digits, = {0, 1, ..., 9}, of strings that represent integers divisible by 4.