Exercise 1.10: The following procedure computes
a mathematical function called Ackermann’s function.


(define (A x y)
  (cond ((= y 0) 0)
        ((= x 0) (* 2 y))
        ((= y 1) 2)
        (else (A (- x 1)
                 (A x (- y 1))))))

What are the values of the following expressions?


(A 1 10)
(A 2 4)
(A 3 3)

Consider the following procedures, where A is the procedure
defined above:


(define (f n) (A 0 n))
(define (g n) (A 1 n))
(define (h n) (A 2 n))
(define (k n) (* 5 n n))

Give concise mathematical definitions for the functions computed by the
procedures f, g, and h for positive integer values of

  n
.  For example, (k n) computes 
  
    5
    
      n
      2
    
  
.