Hey all,
We were discussing bounded and unbounded sets in class, and looking over my notes, I see that I have some trouble understanding the concept.
Here are three examples that our professor gave us:
Set A = {x\inR | |x| <10}
Set A = {x\inR | x<10}
A\subseteqZ s.t. x~y iff x|y
Set A =...
Hello,
So I have the function U(x,y). I have to find a partial derivative of U with respect to x. I understand that one can write that as U subscript x. But now I have to take d/dx of Ux, i.e. I have to take the derivative of Ux(x,y) with respect to x.
Supposedly the answer is Uxx +...
Hello all,
I am going through some sample problems exercises in Paul Sally's Tools of the Trade, and am being asked to prove the Fundamental Counting Principle. That is, If A has m elements and B has n elements, then A X B has mn elements.
Sally goes on to write that "this is simple to prove...
Thanks for the tip. I'll be more careful with my terms next time!
I guess I am a little confused by your note that it is useful to observe that A \subset A \cup B and B \subset A \cup B. How exactly does it fit into the problem?
I am doing some non-homework exercises in preparation for my midterm, and am struggling with the following proofs:
First Prove
{} is a subset of {}, where {} refers to an empty set
My professor told me to do this by contradiction.
So I assume that {} is not a subset of {}. That would imply...