Calculus - Derivatives - Quotient Rule Why is a quotient rule even necessary? Why can't we just consider $\frac{A}{B}$ as $A \cdot B^{-1}$ and use th...

How did we get $2\pi - x$? Kindly provide a general answer because many other similar questions have the same issue.

visit "http://mathworld.wolfram.com/CatalansConjecture.html" Does there exist any simpler or different proof of Catalans conjecture?

While solving an Algebra exercise I came across this expression $2^{a^b c}$ and simplified it in the following manner: $$ 2^{a^b c} = 2^{(a^b)c} = (2^{a^b...

So I am having this trouble with plotting my Polyhedral Set defined as $$P = \{x|Ax\leq b\}$$ The thing is I want to plot it in MATLAB. Let's say my ...

So here's the problem: Find the slope of the tangent line of : $2(x^2 +y^2)^2 = 25(x^2 - y^2)$ at the point (3,1) Cool: So here's what I did: Si...

I have no idea about this intergral $$ \int \exp(\mathbf y ^{*} \mathbf V ^{*} \mathbf \Sigma^{-1} \mathbf S_X) N(\mathbf y\mid\mathbf 0,\mathbf b^{-1})\,...

Eigenvectors with distinct eigenvalues are linearly independant, but what about the case where eigenvalues are repeated. An example is where we have matri...

Im a junior in high school, since I was young I've had a profound interest in Math, and I'd always looked forward to high school mathematics. Li...

We talk about $\tan^{-1}(x)$ in $(-\frac{\pi}{2} \ \ \frac{\pi}{2})$ interval because it's one-to-one. But we can also consider other intervals like ...