Here's an extension of a list posted earlier. If anybody can think of any additions to the list, please post :D!
Perspectives of the world:
-------------------------------
Optimist – The glass is half-full.
Pessimist – The glass is half-empty.
Existentialist – The glass is.
Fatalist – The...
Here's an extension of a list posted earlier. If anybody can think of any additions to the list, please post :D!
Perspectives of the world:
-------------------------------
Optimist – The glass is half-full.
Pessimist – The glass is half-empty.
Existentialist – The glass is.
Fatalist – The...
In the pyramid integration, x varies from 0 to 3. However, each cross section of a rectangular prism has the same base. So you would have instead:
\int_0^3 (3)^2 dx
First of all, there is no such thing as the "volume of a rectangle." If you mean a rectangular prism, then the volume will be different. A rectangular prism with the same square base and height would have a volume of 27 cubic units.
V_{rectangular \ prism} = bh.
V_{pyramid} = \frac{bh}{3}...
I believe we would want (e) and not (f). A thicker string would result in a greater affinity for the string to return back to its equilibrium position. Think of it as: It takes more effort to pull a thicker string, so it'll have a 'stronger desire' to return back to its original position.
Almost...your injection proof is fine. But, when proving a mapping is surjective, we need to show that the domain maps all of the range, i.e., show that for each y, there's an x such that f(x) = y.
You wrote "for y E N," but that's not true. y E B = set of all odd integers greater than 13, not...