c a l c u l u s     i i i

2 0 0 5

 h o m e w o r k   o n e

Due Friday, September 16 2005

Section 8.1

1. 1b, 1c. Try to answer each question with one, concise sentence.
2. 5
3. 6
4. 9-14
5. 39

1. 2
2. 10
3. 11-14
4. 43
5. Two trains are heading toward each other on a track. Both trains move at a constant speed of 10 meters per second. When the trains are 200 meters apart a bird who had been sitting on one of the trains flies toward the other train. It reaches the other train and instantly turns around and flies back toward the original train. Throughout, the bird's speed is 20 meters per second. The bird repeats this behavior, flying back and forth between the trains. Eventually the trains collide, and the bird is crushed. How far did the bird fly before it met its tragic demise?
   1. Solve this problem the hard way.
   2. Solve this problem the easy way.
   3. Do you get the same answers?