How would you go about simplifying this equation: $$3 \ln 2 - \frac{1}{2}\ln 4$$ I am not very familiar with logarithms and how they work, the process is ...

please can anyone explain? what is meant for three hemispheres in Edward's Venn diagram for 3 sets? and where do we represent intersecting regions in...

In math, sometimes I see a negative symbol beside the fraction bar. Does that mean both the numerator and the denominator are negative, or just the numera...

In the context of a problem I am working on, it would be useful to have examples of polynomials with certain features. I know given $n$ points, you can us...

If $y = 6x\ln(x)$, find the following: $y''$ Calculated $y'$ to: $$\frac{6x}{x} + 6\ln(x)$$ Isn't $$y'' = 6x(1) + \frac{x(6)...

I've recently been reading about the Millenium Prize problems, specifically the Riemann Hypothesis. I'm not near qualified to even grasp the ent...

The equation $$x^2y''+pxy'+qy=0$$ where $p$ and $q$ are constants. Show that the change of independent variable given by $x=e^z$ transforms...

I tried to subtract two complex numbers in polar form without transforming them into the cartesian form. Therefore I used the approach made by Mark Viola ...

Does anyone know what the Casorati matrix is? I read that the Casorati matrix is useful in the study of linear difference equations. However, I couldn...

assume $f(x)$ is continuous on $[0,\infty)$ and that $\lim_{x \to \infty}f(x)=L > 0$ How would you prove that $\int_0^\infty f(x) \, dx$ diverges? I kn...