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Math 55  Homework 2
Due Thursday, June 30, 2011
Directions:
•
You should work on these problems and write up solutions in
groups of two
.
•
Your answer should be clear enough that it explains to
someone who does not already
understand the answer
why it works. (This is diﬀerent than just convincing the grader
that you understand.)
1. From section 1.7, do problem 9.
2. From section 2.1, do problem 38.
3. From section 2.2, do problems 45.
4. From section 2.3, do problems 30 and 31.
5. You are given a piece of chocolate
n
inches wide and
m
inches long, perforated in inch
by inch squares. You want to break it into
nm
pieces so you can share it with your
nm
closests friends. In one step, you can break any piece you have made in two along a
straight line. You may not stack pieces, or otherwise break more than one at a time.
What is the fewest steps needed to break the bar into
nm
pieces? Prove that your
answer is optimal.
6. One of the most feared pirate ships on the seas has some strange traditions. Firstly,
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This note was uploaded on 03/14/2012 for the course MATH 55 taught by Professor Strain during the Summer '08 term at University of California, Berkeley.
 Summer '08
 STRAIN
 Math

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