AnswerBun.com
  1. All Categories
  2. Mathematics

Mathematics : Recent Questions and Answers

Find answers to your questions about Mathematics or help others by answering their Mathematics questions.

Why should this result be true? If $f: [0,1] to mathbb{R}$ is differentiable, $g$ is continuous, and $f'(t) = g(f(t)),$ then $f$ is monotonic.

If $f: [0,1] to mathbb{R}$ is differentiable, $g$ is continuous, and$f'(t) = g(f(t)),$ then $f$ is monotonic.Example 1: Suppose $g(x) = x Rightarrow f'...

Asked on 01/07/2022

1 answer

Evaluate $int_0^1frac{mathrm{e}^{12x}-mathrm{e}^{-12x}}{mathrm{e}^{12x}+mathrm{e}^{-12x}},mathrm{d}x$

My work so far $${displaystyleint_0^1}dfrac{mathrm{e}^{12x}-mathrm{e}^{-12x}}{mathrm{e}^{12x}+mathrm{e}^{-12x}},mathrm{d}x$$ using substitution with $u=mathrm{e}^{12x}+mathrm{e}^{-12x}$ $$={displaystyleint}dfrac{1}{12u},mathrm{d}u$$ $$=class{steps-node}{cssId{steps-node-1}{dfrac{1}{12}}}{displaystyleint}dfrac{1}{u},mathrm{d}u$$ $${displaystyleint}dfrac{1}{u},mathrm{d}u$$ which is the standard integral: $$=lnleft(uright)$$ $$=dfrac{lnleft(uright)}{12}$$ and using substitution with...

Asked on 01/07/2022

4 answer

Find an example of sets of cosets of different cardinality

$G$ is a finite group. Let $H$ be a subgroup of $G$. Is there an example of $G$ and $H$ such that$${rm Card}({Hxhmid...

Asked on 01/07/2022

3 answer

Prime number checker formula

First let $N = p^2$. I think that to show that any number less than $N$ is prime, you only have to check to show it has factors...

Asked on 01/07/2022 by Mondo Duke

2 answer

About holomorph of a finite group being the normalizer of regular image

Here is part of Exercise 5.5.19 in Dummit & Foote's Abstract Algebra:Let $H$ be a group of order $n$, let $K=operatorname{Aut}(H)$ and $G=operatorname{Hol}(H)=Hrtimes K$ (where ...

Asked on 01/07/2022

1 answer

How do you generally tell the independence of events in a probability problem when it is not outright stated?

First question, do probability problems generally consisting of two categories always assume two events are dependent? Let's say there are two categories from a set of n people. They are...

Asked on 01/07/2022

0 answer

Why this map is birational?

Let $Y$ be a connected normal Noetherian scheme, $f: Xto Y$ is an etale morphism of finite type. We assume $X$ is also connected. I have proved...

Asked on 01/07/2022

0 answer

Relationship between multivariate Bernoulli random vector and categorical random variable

For simplicity, I'll focus on the bivariate case. Let $(X_1,X_2)$ be a random vector that obeys bivariate Bernoulli. $X_i$ takes either zero or one. The associated pdf can...

Asked on 01/07/2022

1 answer

Can't argue with success? Looking for "bad math" that "gets away with it"

I'm looking for cases of invalid math operations producing (in spite of it all) correct results (aka "every math teacher's nightmare"). One example would be "cancelling" the 6's in ...

Asked on 01/07/2022

41 answer

The topology generated by open intervals of rational numbers

Let$B = { mathbb{R} } cup { (a,b) capmathbb {Q} , alt b , a,b inmathbb{Q}}$ Thus, a set $V in B$...

Asked on 01/07/2022 by roslavets

1 answer

Ask a Question

Get help from others!

© 2022 AnswerBun.com. All rights reserved. Sites we Love: PCI Database, MenuIva, UKBizDB, Menu Kuliner, Sharing RPP, SolveDir