Imagine you are going to write a compiler for a new programming language. The first step is building a Lexical Analyzer. So, your job in this homework is: 1) Describing the tokens of the lexical analyzer using regular expressions 2) Write a simple tokenizer using JayaCc Task 1 (Regular Expressions) Write the Regular Expressions for this new language constructs to identify the tokens: Regular Expression Identifier Integer Floating point numbers Description It must start with $ followed by arbitrary combinations of capital and small letters with any length, then end with at least one digits It contains any combinations of digits with any length at least one digit followed by a decimal dot then followed by any combinations of digits with any length There is no mathematical operations ...etc , they are written as string as: Addition: PLUS Subtraction: MINUS Multiplication: MULT Division: DIV Arithmetic Operations