It is obvious from the definition of $f(x)=\sin(x)$ using the unit circle of radius $1$ that the range of that function is the set $[-1,1]$. But also ther...

I am having difficulty determining is the solution for the following problem: $$\displaystyle \lim_{x \rightarrow \infty}\left( x \times 0 \right)$$ To cl...

I have the following matrix definition An m × n (read “m by n”) matrix A over a set S is a rectangular array of elements of S arranged into m rows and n c...

The above part of my linear algebra is giving me trouble. It says: This A is a "difference matrix"... I have colored in yellow what I think the book is me...

This is an SAT math problem, and it's really confusing me. http://i.imgur.com/VuIGVdu.png I am completely lost. Do I have to use trigonometry? I know...

I want to write $\csc$ and $\tan$ and terms of classical trigonometric functions like $\sin$ and $\cos$. I know about the identity $\sin(x)^2+\cos(x)^2=1$...

I want to generate a square matrix for which all eigenvalues lies inside the unit circle. Any simple way to do that in Matlab? I am not sure but such matr...

I'm trying to evaluate the double integral $$\int_0^{10}\int_0^{(5/2)\sqrt{4-x^2}}4-x^2-\frac{4}{25}y^2 \; dy \; dx$$ but using Cartesian coordinates...

In Rudin, while defining the concept of 'pointwise bounded', it says: if there exists a finite-valuded function $\phi$ defined on $E$ such that ...

In do Carmo, one exercise gives a plane in $\mathbb R^3$, $ax +by +cz+d = 0$, and tells us to show that $|d|/\sqrt{a^2 + b^2 + c^2}$ measures the distance...