omer

 5 How to compute $\int \frac{16 x^3 - 42 x^2+2x}{\sqrt{-16x^8+112x^7-204x^6+28x^5-x^4+1}}\,\mathrm dx.$ 4 Derivative of sin(x) = cos(x) from first principles without using (a + h) 3 Determine the limits point of $x_n$? 3 $\forall x\in \mathbb{R} \exists b\in (x, x+a) \frac{f'(x) } {f(x) }=e^{a{f'(b) }/{f(b) } }$ 2 Limit of a particular sequence

### Reputation (803)

 +20 Let $G=(V,E)$ be a graph with $|V|=6,|E|=10$. Prove there exists vertex $v$ such that $\deg v=4$ or $\deg v=5$- Possible pigeonhole solution? +25 How to correctly convert vectors to a matrix +40 $G$ is torsionfree group and any $x,y \in G$ satisfy $(xy)^n=x^ny^n$, show $G$ is abelian. +10 Counting problem: Checking 9 squares out of $3\times 5$ board

### Questions (5)

 4 $G$ is torsionfree group and any $x,y \in G$ satisfy $(xy)^n=x^ny^n$, show $G$ is abelian. 4 Computing $\underset{x\rightarrow0}{\lim}\big(a^{x}+b^{x}-c^{x}\big)^\frac{1}{x}$ 3 Counting problem: Checking 9 squares out of $3\times 5$ board 2 Let $G=(V,E)$ be a graph with $|V|=6,|E|=10$. Prove there exists vertex $v$ such that $\deg v=4$ or $\deg v=5$- Possible pigeonhole solution? 1 Basic properties of Lie brackets

### Tags (42)

 8 calculus × 7 5 substitution 7 linear-algebra × 5 5 indefinite-integrals 6 sequences-and-series × 5 4 ordinary-differential-equations × 4 6 real-analysis × 2 4 convergence-divergence × 2 5 integration 4 trigonometry