MCS-177 Homework 5, Spring 2005

Due: April 4, 2005

• Do exercise 5.15 on page 123.

• Do exercise 5.16 on page 123.

• Do exercise 5.20 on page 125.

• Exercise 5.x2: Suppose the following have been defined:

  (define make-shifted
    (lambda (shift-amount f)
      (lambda (x)
        (f (+ x shift-amount)))))
  
  (define double
    (lambda (x)
      (* x 2)))
  
  (define mystery
    (make-shifted 5 double))
  

  For each of the following expressions, indicate whether an error would be signaled, the value would be a procedure, or the value would be a number. If an error is signaled, explain briefly the nature of the error. If the value is a procedure, specify how many arguments the procedure expects. If the value is a number, specify which number.
  1. make-shifted
  2. mystery
  3. (mystery 4)
  4. (mystery double)
  5. ((make-shifted 3 double) 4)
  6. ((make-shifted 3 4) 5)
  7. (make-shifted 3 double)
  8. ((make-shifted 3 (make-shifted 4 double)) 5)

• Do exercise 6.3 on page 143.