Using Python;

a.Write a recursive function apply_to_all() that takes a function and a list as arguments and returns a list comprising the results of applying the function to each elements of the list.

Example: >>> apply_to_all( sqrt, [4, 9, 16, 25] ) # sqrt = square root function [2, 3, 4, 5]

b.Write a recursive function apply_select() that takes a predicate function and a list as arguments and returns a list of those elements for which the predicate is true. Example: >>> apply_select( is_odd, [2, 3, 5, 8, 9] ) # is_odd = True is num is odd [3, 5, 9] # False otherwise