2. Tutorial Exercises

Prepare these exercises for oral presentation in tutorial.

Tutorial exercise 1:

Below is a sequence of expressions. Be prepared to indicate the result that is printed by the interpreter in response to each expression. Be prepared to explain why. Assume that the sequence is to be evaluated in the order in which it is presented. (Try to determine the answers to this exercise without actually trying these on a computer.)

(> 10 9.7)

+

(define double (lambda (x) (* 2 x)))

double

(define c 4)

c

(double c)

c

(double (double (+ c 5)))

(define times-2 double)

(times-2 c)

(define d c)

(= c d)

(if (= (* c 6) (times-2 d))
    (< c d)
    (+ c d))    

(cond ((>= c 2) d)
      ((= c (- d 5)) (+ c d))
      (else (abs (- c d))))

(define try (lambda (x) (x 3)))

(try double)

(try (lambda (z) (* z z)))

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Tutorial exercise 2:

What is the difference between the following two ways of defining cube?

(define cube (lambda (x) (* x x x)))

(define (cube x) (* x x x))

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Tutorial exercise 3:

Do exercise 1.4 of the text.

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Tutorial exercise 4:

Do exercise 1.6 of the text.

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