MathematicsA manufacturer uses a tank to supply water to his machines while they are working. When the machines are on the tank loses 1.5 gallons of water an hour at the same time 1 gallon of water is pumped into the tank from a well. Write an equation that models the amount of water (w) in the tank for any hour (h) that the machines are on. The tank starts full with 150 gallons of water in it.
Describe some of the earliest uses of the pigeonhole principle by Dirichlet and other mathematicians
Each writing assignment is worth
should include the following sections
Background (3 points):
This is a discussion of how the
mathematical and mathematical portions of your topic fit
t include a historical background of the topic, definitions of terms
that are addressed
induction, logical fallacy, etc.
), and some explan
ation about why these ideas were useful.
Examples (10 points):
In most of your writing assignments you are asked to discuss and describe an aspect of discrete
mathematics. Give two of three examples or techniques of the topic under discussion. Give general
information and also
specific examples of the topic.
List the references you used to complete this rep
ust list title and author for any books
you used. You should also include a list of people that you consulted
or any other form of help that you received.
For example, you might obtain some of your information from the internet; in this case, you could include the
You’ll need at least one book
as a reference, preferably two
, and a total of at
least two reference