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Let $G = (V,E)$ be a graph on at least $3$ vertices so that for every vertex $v in V, Gbackslash v$ is connected. Prove that for...
Asked on 01/04/2021 by Fred Jefferson
1 answerIn this post a user claimsbegin{align*}f'(x)&=lim_{hto 0}frac{f(x+h)-f(x)}{h}\&=lim_{hto 0}frac{sin 3(x+h)-sin(3x)}{h}\&=lim_{hto 0}frac{2cos (3x+frac32h)sin frac32h}{h}\&=lim_{hto 0}frac{2cos (3x+frac32h)frac32h}{h}\&=lim_{hto 0}3cos (3x+frac32h)\&=3cos(3x)end{align*} How did he...
Asked on 01/04/2021
1 answerif we define the perturbed $w$ value to be $tilde w = w + delta $, how is the perturbation with respect to $delta$ defined, why...
Asked on 01/04/2021 by Karim
0 answerLet $2^x=3x$. Show that the equation has a solution in the range $(0, 1).$I was trying to apply just Bolzano's theorem here, but seems that that's not quite...
Asked on 01/03/2021 by Daniel Li
1 answerLet me set up the question by stating something that is well-known. Suppose $f$ is an unknown function, but we are given $f'$ and the fact that...
Asked on 01/03/2021 by Boby
1 answerI am working on exercise 4.2.7 of Hatcher, which is to construct a CW complex $X$ with arbitrary homotopy groups and a prescribed action of the fundamental group on these...
Asked on 01/03/2021 by James Cameron
2 answerI'm trying to find $$ lim_{n to infty} int_1^a dfrac{n}{1+x^n} , dx ,$$ where parameter $a>1$. The limit appears to be $ln 2$ regardless...
Asked on 01/03/2021 by Karlis Olte
3 answerI'm trying to show that: $V$ = { ($x$, $y$, $z$) | $2x$ + $y$ - $z$ = $1$ } is NOT...
Asked on 01/03/2021 by Broadsword93
2 answerHow to prove that a graph with chromatic number $geq 4$ has in it two disjoint by vertices subgraphs with a chromatic number of $2$ and $3$....
Asked on 01/03/2021
0 answerMy idea was to find a composition of functions that turnt $mathbb S^{n+1}setminus{N,S}$ into $D^{n}setminus{0}$ (the proyecton of hyperplane of the first $n$ components) and then into...
Asked on 01/03/2021 by GreekCorpse
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