CS100 M
Review Questions for Prelim 1

1. Be sure to review all the lecture examples, section/lab exercises, and homework problems!

2. Short Questions:   Smith textbook, pp110-111, questions 1-5, 7.
   Note that we have focused so far on the logical AND (&&) and OR (||) operators. We will use & and | later.

3. The income tax code in Timbuktu works as follows: the first $30,000 of income is taxed at 25%, the next $30,000 at 30%, and any amount above $60,000 at 40%. Write a program that accepts as input an income amount and computes and prints the correct tax amount to be paid in Timbuktu.

4. Questions from FVL:
   • P2.2.5
   • P3.1.4
   • P3.2.4
   • P3.2.5
     [Revised 2/18:] The number of base-10 digits required to represent a number x is given by   floor(log10(x)+1). (The expression given in FVL   ceil(log10(x)) is wrong when x is a power of 10.)

5. Given integers nBig and nSm where nBig > nSm, write a program fragment that lists the integers in decreasing order and annotates the integers that are prime numbers. Only print functions and rem are allowed. Assume nBig,nSm > 1. Example output for nBig=6 and nSm=3 is

           6
           5 is prime
           4
           3 is prime
         

6. Write a fragment to plot the function f(x) = 0.2*(x^3-x)/(1.1+cos(x)) for -2pi <= x <= 2pi.