Monday's Exercises

Exercise 1:

Given a margin width m, which is both the top, bottom, left, and right
margin of the page, write a procedure that computes the "usable" (non
margin) area of the 8.5in by 11in sheet of paper.

(usable-page 0)
;Value: 93.5
(usable-page 1)
;Value: 58.5

Exercise 2:

Write a procedure to find the smallest factor of a number.  As a
suggestion, have the procedure take in both the number n, and a factor
f.  The procedure should test to see if f is a factor, along with all
possible factors greater than f.  Some numbers may not have any
factors in this range, if so, the procedure should return false.  You
may want to look back at previous exercises to see if you've written
any procedures that may help with this exercise.

(smallest-factor 8 3)
;Value: 4   (4 divides 8 and is between 3 and 8)
(smallest-factor 12 7)
;Value: #f  (12 has no factors larger than 7)

Exercise 3:

Building on the previous exercise, write prime?, which returns true if
the number is prime.  Remember that a prime number has no factors
other than 1 and itself.

(prime? 4)
;Value: #f
(prime? 17)
;Value: #t
(prime? 569)
;Value: #t