I am attempting to help someone with their homework and these concepts are a bit above me. I apologize for the terrible graph drawing. I am using a surfac...

Having been asked to compare $\log_2(3)$ and $\log_3(5)$, this is my proof: $$\log_2(3)>\log_3(5)$$ Then one uses the rule $\log_a(b)=\frac{1}{\log_b(a...

The circle w is internally tangent with the circumcircle of $\triangle ABC$ at point A. $W \cap AB = K$ and $w$ intersects $BC$. The line $CL$ is tangent ...

Let $\alpha:I\to\Bbb R^3$ be a curve parametrized by arc length $s$, with nonzero curvature and torsion. Consider the parametrized surface $$\textbf{x}(s,...

Upon one of my mathematical journey's (clicking through wikipedia), I encountered one of the most beautiful geometrical concept that I have ever enco...

I know what the chain rule is but i am unsure how to apply it to this case. $$z=x^3\cdot e^{2y}$$ $$x=2t$$ $$y=t^2$$ Edit: Fixed title to $\frac{dz}{dt}$.

I'm studying encryption in class and we're doing "One-Time-Pad" encryption and I've come across this situation. I want to code $1100$, wher...

Is this true, that if we can describe any (real) number somehow, then it is computable? For example, $\pi$ is computable although it is irrational, i.e. e...

I know that the requirements for a Eulerian graph are that all vertex degrees are even and that it is connected. But I am not sure how that would work wit...

I have two vector points, $\langle 1,3,7 \rangle$ and $\langle 23,-5,10 \rangle$. Point $1$ is at $t=13$ and Point $2$ is at $t=81$. I know how to find th...