2 Lambda Calculus 1. (5 points) Write the lambda calculus terms corresponding to the following func- tions: The function that takes an argument and applies that argument to itself. The function that takes two arguments, and returns the first argument. (Hint: "the function that takes two arguments and does X" is the same as "the func- tion that takes an argument, and returns a function that takes an argument and does X".) The function that takes two arguments, and applies the second argument to the first argument. 2 Lambda Calculus 1. (5 points) Write the lambda calculus terms corresponding to the following func- tions: The function that takes an argument and applies that argument to itself. The function that takes two arguments, and returns the first argument. (Hint: "the function that takes two arguments and does X" is the same as "the func- tion that takes an argument, and returns a function that takes an argument and does X".) The function that takes two arguments, and applies the second argument to the first argument