cursive Functions Without looking at the standard prelude, define the following library functions using recursion: o Decide if all logical values in a list are true: and :: [Bool] -> Bool
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![Recursive Functions
1. Without looking at the standard prelude, define the following library functions using
recursion:
o Decide if all logical values in a list are true:
and [Bool] -> Bool
o Concatenate a list of lists:
concat: [[a]] -> [a]
o Produce a list with n identical elements:
replicate :: Int -> a -> [a]
o Select the nth element of a list:
(!!) :: [a] -> Int -> a
o Decide if a value is an element of a list:
elem: Eq a => a => [a] -> Bool](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03e2bddc-1f40-455d-b291-edb98506412a%2F52ddd1ed-6692-4471-8315-cf574c2dcc50%2Fei8fl0p_processed.jpeg&w=3840&q=75)
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- Recursive Functions 1. Without looking at the standard prelude, define the following library functions using recursion: o Decide if all logical values in a list are true: and [Bool] -> Bool o Concatenate a list of lists: concat: [[a]] -> [a] o Produce a list with n identical elements: replicate :: Int -> a => [a] o Select the nth element of a list: (!!) [a] -> Int -> a o Decide if a value is an element of a list: elem: Eq a => a => [a] -> BoolWrite a recursive function named Multiply2 that multiples by 2 and prints each element in a given list. For example: mylist=[1,2,3,4] Multiply2(mylist) prints: 2 4 6 8 Note: the function takes only one parameter, which is the list on which the operation will be performed.Recursive Count Write a recursive function rc_count(L:List[int], x:int) -> int that takes a list L and an integer x. The function returns the number of occurrences of x in L. For example, rc_count([1,1,2,3], 1) returns 2 and rc_count([1,1,2,3], 4) returns 0. Your Answer: 1 # Put your answer here 2 Submit
- 1. Recursion & List processing Write a recursive function flatten that takes a list as an argument and returns the flat version of that list. For example, (flatten '(a (b c) d)) -> (a b c d) (flatten '(((a)) (b (c)) d)-> (a b c d)In Python: Write a recursive function named Multiply2 that multiples by 2 and prints each element in a given list. For example: mylist=[1,2,3,4] Multiply2(mylist) prints: 2 4 6 8 Note: the function takes only one parameter, which is the list on which the operation will be performed. It's ok if the list becomes empty after calling the function.Computer Science In Racket, write a recursive function called "first-index" that returns only the first index of the specified element in a list. Ex : (first-index '1 '(3 5 1 4 5 2 1)) Would return 3 The function must take 2 arguments, the item you wish to find its index and a list
- 6. Write a function DOT-PRODUCT that takes two lists, each list has the same number of elements, and produces the dot product of the vectors that they represent. For example, (DOT-PRODUCT '(1.2 2.0 -0.2) '(0.0 2.3 5.0)) -> 3.6 Hint: The key for designing a lisp function is using recursion.Write a recursive Java function displayOutIn that displays two items from an array list at one instance from out-to-in. until one or last two items displayed and the process stops. For example, given array A = {15, 74, 106, 10, 9, 86, 34} the displayOutIn function displays the following: 15, 34 74, 86 106, 9 10Python data structures: write a function that takes in a list (L) as input, and returns the number of inversions. An inversion in L is a pair of elements x and y such that x appears before y in L, but x > y. Your function must run in -place and implement the best possible algoritm of time complexity. def inversions(L: List) -> int:'''finds and returns number of inversions'''
- A- Declare a self-referential structure StudentNode for a linked list having one data field called GPA (float), and one pointer to StudentNode called next. B- Write a non-recursive function that prints all the GPAS that are less than or equal to 2 in your linked list starting from the head of the list. Example: If the list is 1.9->2->3.5->4->1.8, the function should print: 1.9->2->1.8. C- Write a recursive function that counts all the GPAS that are higher or equal to 3.5 in your linked list starting from the head of the list. Example: If the list is 1.9->2->3.5->4->1.8, the function should return 2.1. Recursion & List processing Write an function maxlist that returns the maximum element in a simple list of numbers. (maxlist '(2 5 6 3)) -> 6USING LISP Write a function REMOVE-NUM that takes a list and returns a list consisting of the original list with all numeric atoms removed. Examples: (REMOVE-NUM '(2 A 6 B 1 C 7 D)) returns the list (A B C D) (REMOVE-NUM '(3 A 4 B (1 E) 7 D)) returns the list (A B (E) D)