Functions should be made using haskell

1. Write a function maxList :: [Integer] -> Integer which returns the maxi- mum element of a list. 2. Write a function multiplyList :: [Integer] -> Integer which multiplies to- gether all the elements of a list. What should be the base case value when the list is empty? 3. Write a function existsOdd :: [Integer] -> Bool which returns True if there exists an odd element in the list, and returns False otherwise. 4. Write a function findOdd :: [Integer] -> Maybe Integer which returns Just x if there is some x in the input that is odd, and returns Nothing otherwise. 5. Write a function removeEmpty :: [String] -> [String] which takes a list of strings and removes all empty strings from the list. removeEmpty ["Hello", "", "there", "", " "world",""] ["Hello", "there","world"]