User TheSimpliFire

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Find $\frac{d}{dx}\left(\frac{f}{g}\right)(x)$ when $x = 2 $

answered Nov 23, 2019 at 11:19

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Find all residues of all isolated singular points of the function $f(z) = \frac{1+z^{2n}}{z^n(z-a)}$, where $a \neq 0$ and $n \in \mathbb{Z}^+$

answered Dec 26, 2019 at 11:23

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Why is $X\cap A=A\cap X=A$, not $X\cap A=A\cap X=X$ for the operation $\cap$ on $\mathcal B(X)$?

answered Oct 13, 2019 at 9:14

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distances of the end points of two orthogonal line segments

answered Jun 23, 2019 at 19:30

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Find the equation of the circle containing the point $(-2,2)$ and passing through..

answered Jul 27, 2019 at 8:32

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Positive real number inequality $\frac{m+p}{n+p}\gt\frac{m}{n}$, where $n\gt m\gt 0$ and $p\gt 0$

answered Jul 5, 2019 at 7:35

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How do I take a fraction to a negative power?

answered Jul 12, 2019 at 8:15

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Partial Fractions: Why does this shortcut method work?

answered Aug 3, 2019 at 16:04

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Simple question related to Correlation & Covariance

answered Jul 18, 2020 at 9:51

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Prove that there is no positive integer n such that n² + n³ = 100.

answered Oct 11, 2020 at 9:56

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Find the supremum of $|z|^2+\text{Re}(\overline{z}w)$ subject to $|z|^2+|w|^2=1$.

answered Sep 21, 2020 at 16:41

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Minimum value of $f(x,y,z) = x^z + y^z - (xy)^{\frac{z}{4}}, x > 0, y > 0, z > 0$

answered Sep 23, 2020 at 8:01

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$f(x,y)=x\sqrt{|y|}$. What is $\frac{\partial f}{\partial y}(x,y)$?

answered Dec 16, 2020 at 9:07

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Let $x$ be a $p$-letter word, $f^{n}(x)=x \implies x$ must be a 'boring' word

answered Jan 3, 2021 at 11:35

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Help solving $2y'-4y\left(\frac{y''}{y'}\right)=\log\left(\frac{y''}{y'}\right)$

answered Nov 13, 2020 at 14:26

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Show $\Gamma(z)y^{-z}$ vanishes as $z\to\pm i\infty$

answered Nov 22, 2020 at 10:08

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Characterization of ${\rm PSU}(4,2)$ by its order $|{\rm PSU}(4,2)|$ and the number $n_5({\rm PSU}(4,2))$ of its Sylow $5$-subgroups?

answered Nov 24, 2020 at 9:46

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Proving $abc-1+\sqrt\frac 2{3}\ (a-c)\ge 0$

answered Oct 21, 2020 at 8:00

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Variance of square of the mean of Bernoulli variable

answered Nov 4, 2020 at 16:51

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Prove that $\theta$ is an irrational multiple of $2\pi$ given $\cos(\theta/2)\equiv \cos^2(\pi/8)$

answered Oct 15, 2021 at 12:54

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Calculating $\operatorname{cov}(\lambda\sinh(\frac{z-\gamma}{\delta})+\xi, \sigma z+\mu)$

answered Sep 26, 2022 at 16:45

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Showing an integral is equal to arcsine

answered Mar 27 at 1:15

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Solution verification of expressing one variable in terms of other, used in Schweinler-Wigner orthogonalization procedures.

answered Jun 5, 2021 at 10:14

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show this inequality $x^{n+1}+y^{n+1}\ge x^n+y^n$

answered Feb 7, 2021 at 17:05

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Let $0<a<b<1$ and $E=\log_{a}{\frac{2ab}{a+b}} + \log_{b}{\frac{2ab}{a+b}}$ Prove that $E>2$

answered May 1, 2021 at 10:39

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Prove that $\arctan x$ cannot be expressed as a rational function

answered Apr 18, 2021 at 13:32

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Prove that $T$ is surjective

answered Apr 24, 2021 at 11:36

-2 votes

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Use the sine rule to prove trig identity

answered Dec 9, 2018 at 19:20

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808 Answers

Find $\frac{d}{dx}\left(\frac{f}{g}\right)(x)$ when $x = 2 $

Find all residues of all isolated singular points of the function $f(z) = \frac{1+z^{2n}}{z^n(z-a)}$, where $a \neq 0$ and $n \in \mathbb{Z}^+$

Why is $X\cap A=A\cap X=A$, not $X\cap A=A\cap X=X$ for the operation $\cap$ on $\mathcal B(X)$?

distances of the end points of two orthogonal line segments

Find the equation of the circle containing the point $(-2,2)$ and passing through..

Positive real number inequality $\frac{m+p}{n+p}\gt\frac{m}{n}$, where $n\gt m\gt 0$ and $p\gt 0$

How do I take a fraction to a negative power?

Partial Fractions: Why does this shortcut method work?

Simple question related to Correlation & Covariance

Prove that there is no positive integer n such that n² + n³ = 100.

Find the supremum of $|z|^2+\text{Re}(\overline{z}w)$ subject to $|z|^2+|w|^2=1$.

Minimum value of $f(x,y,z) = x^z + y^z - (xy)^{\frac{z}{4}}, x > 0, y > 0, z > 0$

$f(x,y)=x\sqrt{|y|}$. What is $\frac{\partial f}{\partial y}(x,y)$?

Let $x$ be a $p$-letter word, $f^{n}(x)=x \implies x$ must be a 'boring' word

Help solving $2y'-4y\left(\frac{y''}{y'}\right)=\log\left(\frac{y''}{y'}\right)$

Show $\Gamma(z)y^{-z}$ vanishes as $z\to\pm i\infty$

Characterization of ${\rm PSU}(4,2)$ by its order $|{\rm PSU}(4,2)|$ and the number $n_5({\rm PSU}(4,2))$ of its Sylow $5$-subgroups?

Proving $abc-1+\sqrt\frac 2{3}\ (a-c)\ge 0$

Variance of square of the mean of Bernoulli variable

Prove that $\theta$ is an irrational multiple of $2\pi$ given $\cos(\theta/2)\equiv \cos^2(\pi/8)$

Calculating $\operatorname{cov}(\lambda\sinh(\frac{z-\gamma}{\delta})+\xi, \sigma z+\mu)$

Showing an integral is equal to arcsine

Solution verification of expressing one variable in terms of other, used in Schweinler-Wigner orthogonalization procedures.

show this inequality $x^{n+1}+y^{n+1}\ge x^n+y^n$

Let $0<a<b<1$ and $E=\log_{a}{\frac{2ab}{a+b}} + \log_{b}{\frac{2ab}{a+b}}$ Prove that $E>2$

Prove that $\arctan x$ cannot be expressed as a rational function

Prove that $T$ is surjective

Use the sine rule to prove trig identity