(d) Write a Haskell function applylist that takes a list of functions and value that is a valid input to all the functions, and returns a list where all the functions have been applied to the value. Examples with expected output are: applylist [\x -> x+1, \x -> x*x, \x -> 2*x] 4 [5, 16,8] applylist [\(x,y) -> x&&y, \(x,y) -> xlly, \(x,y) -> x/=y] (True, False) [False, True, True] Include the type of your function. [10 marks] (d) Write a Haskell function applylist that takes a list of functions and value that is a valid input to all the functions, and returns a list where all the functions have been applied to the value. Examples with expected output are: applylist [\x -> x+1, \x -> x*x, \x -> 2*x] 4 [5, 16,8] applylist [\(x,y) -> x&&y, \(x,y) -> xlly, \(x,y) -> x/=y] (True, False) [False, True, True] Include the type of your function. [10 marks]