Haskell - Usage of higher-order functions (1) P93632

Implement the following functions using higher-order functions (and other predefined functions) of Haskell without using recursion.

1. Implement a function eql :: [Int] -> [Int] -> Bool that tells wether two lists of integers are equal.
2. Implement a function prod :: [Int] -> Int that returns the product of a list of integers.
3. Implement a function prodOfEvens :: [Int] -> Int that returns the product of all even numbers of a list of integers.
4. Implement a function powersOf2 :: [Int] that generates the list of all the powers of ‍2.
5. Implement a function scalarProduct :: [Float] -> [Float] -> Float that returns the dot product of two lists of float numbers with the same size.

Scoring

Each function scores 20 points.